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Finding the Fourth Proportional to 10,507.13, 15,762.57 and 3,487.57

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Solution

The fourth proportional to 10,507.13, 15,762.57 and 3,487.57 is: 5,231.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,507.13 : 15,762.57 = 3,487.57 : x
  2. Step 2: Convert to fraction form
    10,507.13/15,762.57 = 3,487.57/x
  3. Step 3: Cross multiply
    10,507.13x = 15,762.57 × 3,487.57
  4. Step 4: Simplify right side
    10,507.13x = 54,973,066.25
  5. Step 5: Solve for x
    x = 54,973,066.25/10,507.13
  6. Step 6: Final answer
    x = 5,231.98

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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.