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Finding the Fourth Proportional to 7,294.18, 10,947 and 5,088.55

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Solution

The fourth proportional to 7,294.18, 10,947 and 5,088.55 is: 7,636.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,294.18 : 10,947 = 5,088.55 : x
  2. Step 2: Convert to fraction form
    7,294.18/10,947 = 5,088.55/x
  3. Step 3: Cross multiply
    7,294.18x = 10,947 × 5,088.55
  4. Step 4: Simplify right side
    7,294.18x = 55,704,356.85
  5. Step 5: Solve for x
    x = 55,704,356.85/7,294.18
  6. Step 6: Final answer
    x = 7,636.82

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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.