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Finding the Fourth Proportional to 7,537.28, 10,332.80 and 7,416.32

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Solution

The fourth proportional to 7,537.28, 10,332.80 and 7,416.32 is: 10,166.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,537.28 : 10,332.80 = 7,416.32 : x
  2. Step 2: Convert to fraction form
    7,537.28/10,332.80 = 7,416.32/x
  3. Step 3: Cross multiply
    7,537.28x = 10,332.80 × 7,416.32
  4. Step 4: Simplify right side
    7,537.28x = 76,631,351.30
  5. Step 5: Solve for x
    x = 76,631,351.30/7,537.28
  6. Step 6: Final answer
    x = 10,166.98

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.