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Finding the Fourth Proportional to 10,154.48, 14,008.20 and 6,375.76

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Solution

The fourth proportional to 10,154.48, 14,008.20 and 6,375.76 is: 8,795.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,154.48 : 14,008.20 = 6,375.76 : x
  2. Step 2: Convert to fraction form
    10,154.48/14,008.20 = 6,375.76/x
  3. Step 3: Cross multiply
    10,154.48x = 14,008.20 × 6,375.76
  4. Step 4: Simplify right side
    10,154.48x = 89,312,921.23
  5. Step 5: Solve for x
    x = 89,312,921.23/10,154.48
  6. Step 6: Final answer
    x = 8,795.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.