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Finding the Fourth Proportional to 10,810.17, 14,918.06 and 5,842.17

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Solution

The fourth proportional to 10,810.17, 14,918.06 and 5,842.17 is: 8,062.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,810.17 : 14,918.06 = 5,842.17 : x
  2. Step 2: Convert to fraction form
    10,810.17/14,918.06 = 5,842.17/x
  3. Step 3: Cross multiply
    10,810.17x = 14,918.06 × 5,842.17
  4. Step 4: Simplify right side
    10,810.17x = 87,153,813.38
  5. Step 5: Solve for x
    x = 87,153,813.38/10,810.17
  6. Step 6: Final answer
    x = 8,062.21

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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.