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Finding the Fourth Proportional to 10,957.47, 16,428.10 and 4,378.65

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Solution

The fourth proportional to 10,957.47, 16,428.10 and 4,378.65 is: 6,564.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,957.47 : 16,428.10 = 4,378.65 : x
  2. Step 2: Convert to fraction form
    10,957.47/16,428.10 = 4,378.65/x
  3. Step 3: Cross multiply
    10,957.47x = 16,428.10 × 4,378.65
  4. Step 4: Simplify right side
    10,957.47x = 71,932,900.07
  5. Step 5: Solve for x
    x = 71,932,900.07/10,957.47
  6. Step 6: Final answer
    x = 6,564.74

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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.