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Finding the Fourth Proportional to 10,357.16, 14,287.38 and 6,995.48

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Solution

The fourth proportional to 10,357.16, 14,287.38 and 6,995.48 is: 9,650.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,357.16 : 14,287.38 = 6,995.48 : x
  2. Step 2: Convert to fraction form
    10,357.16/14,287.38 = 6,995.48/x
  3. Step 3: Cross multiply
    10,357.16x = 14,287.38 × 6,995.48
  4. Step 4: Simplify right side
    10,357.16x = 99,947,081.04
  5. Step 5: Solve for x
    x = 99,947,081.04/10,357.16
  6. Step 6: Final answer
    x = 9,650.05

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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.