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Finding the Fourth Proportional to 10,849.60, 16,296.24 and 6,475.60

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Solution

The fourth proportional to 10,849.60, 16,296.24 and 6,475.60 is: 9,726.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,849.60 : 16,296.24 = 6,475.60 : x
  2. Step 2: Convert to fraction form
    10,849.60/16,296.24 = 6,475.60/x
  3. Step 3: Cross multiply
    10,849.60x = 16,296.24 × 6,475.60
  4. Step 4: Simplify right side
    10,849.60x = 105,527,931.74
  5. Step 5: Solve for x
    x = 105,527,931.74/10,849.60
  6. Step 6: Final answer
    x = 9,726.44

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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.