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Finding the Fourth Proportional to 10,537.74, 15,802.74 and 3,962.16

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Solution

The fourth proportional to 10,537.74, 15,802.74 and 3,962.16 is: 5,941.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,537.74 : 15,802.74 = 3,962.16 : x
  2. Step 2: Convert to fraction form
    10,537.74/15,802.74 = 3,962.16/x
  3. Step 3: Cross multiply
    10,537.74x = 15,802.74 × 3,962.16
  4. Step 4: Simplify right side
    10,537.74x = 62,612,984.32
  5. Step 5: Solve for x
    x = 62,612,984.32/10,537.74
  6. Step 6: Final answer
    x = 5,941.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.