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Finding the Fourth Proportional to 10,478.30, 15,715.02 and 4,631.72

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Solution

The fourth proportional to 10,478.30, 15,715.02 and 4,631.72 is: 6,946.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,478.30 : 15,715.02 = 4,631.72 : x
  2. Step 2: Convert to fraction form
    10,478.30/15,715.02 = 4,631.72/x
  3. Step 3: Cross multiply
    10,478.30x = 15,715.02 × 4,631.72
  4. Step 4: Simplify right side
    10,478.30x = 72,787,572.43
  5. Step 5: Solve for x
    x = 72,787,572.43/10,478.30
  6. Step 6: Final answer
    x = 6,946.51

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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.