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Finding the Fourth Proportional to 7,537.61, 10,402.16 and 4,552.85

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Solution

The fourth proportional to 7,537.61, 10,402.16 and 4,552.85 is: 6,283.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,537.61 : 10,402.16 = 4,552.85 : x
  2. Step 2: Convert to fraction form
    7,537.61/10,402.16 = 4,552.85/x
  3. Step 3: Cross multiply
    7,537.61x = 10,402.16 × 4,552.85
  4. Step 4: Simplify right side
    7,537.61x = 47,359,399.38
  5. Step 5: Solve for x
    x = 47,359,399.38/7,537.61
  6. Step 6: Final answer
    x = 6,283.08

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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.