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Finding the Fourth Proportional to 10,547.91, 14,526.38 and 10,318.28

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Solution

The fourth proportional to 10,547.91, 14,526.38 and 10,318.28 is: 14,210.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,547.91 : 14,526.38 = 10,318.28 : x
  2. Step 2: Convert to fraction form
    10,547.91/14,526.38 = 10,318.28/x
  3. Step 3: Cross multiply
    10,547.91x = 14,526.38 × 10,318.28
  4. Step 4: Simplify right side
    10,547.91x = 149,887,132.00
  5. Step 5: Solve for x
    x = 149,887,132.00/10,547.91
  6. Step 6: Final answer
    x = 14,210.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.