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Finding the Fourth Proportional to 7,666.34, 11,470.35 and 4,737.38

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Solution

The fourth proportional to 7,666.34, 11,470.35 and 4,737.38 is: 7,088.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,666.34 : 11,470.35 = 4,737.38 : x
  2. Step 2: Convert to fraction form
    7,666.34/11,470.35 = 4,737.38/x
  3. Step 3: Cross multiply
    7,666.34x = 11,470.35 × 4,737.38
  4. Step 4: Simplify right side
    7,666.34x = 54,339,406.68
  5. Step 5: Solve for x
    x = 54,339,406.68/7,666.34
  6. Step 6: Final answer
    x = 7,088.05

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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.