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Finding the Fourth Proportional to 10,620, 15,934.56 and 5,688.24

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Solution

The fourth proportional to 10,620, 15,934.56 and 5,688.24 is: 8,534.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,620 : 15,934.56 = 5,688.24 : x
  2. Step 2: Convert to fraction form
    10,620/15,934.56 = 5,688.24/x
  3. Step 3: Cross multiply
    10,620x = 15,934.56 × 5,688.24
  4. Step 4: Simplify right side
    10,620x = 90,639,601.57
  5. Step 5: Solve for x
    x = 90,639,601.57/10,620
  6. Step 6: Final answer
    x = 8,534.80

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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.