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Finding the Fourth Proportional to 7,666.90, 11,497.70 and 3,715.86

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Solution

The fourth proportional to 7,666.90, 11,497.70 and 3,715.86 is: 5,572.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,666.90 : 11,497.70 = 3,715.86 : x
  2. Step 2: Convert to fraction form
    7,666.90/11,497.70 = 3,715.86/x
  3. Step 3: Cross multiply
    7,666.90x = 11,497.70 × 3,715.86
  4. Step 4: Simplify right side
    7,666.90x = 42,723,843.52
  5. Step 5: Solve for x
    x = 42,723,843.52/7,666.90
  6. Step 6: Final answer
    x = 5,572.51

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