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Finding the Fourth Proportional to 10,329.68, 15,495.60 and 5,134.16

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Solution

The fourth proportional to 10,329.68, 15,495.60 and 5,134.16 is: 7,701.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,329.68 : 15,495.60 = 5,134.16 : x
  2. Step 2: Convert to fraction form
    10,329.68/15,495.60 = 5,134.16/x
  3. Step 3: Cross multiply
    10,329.68x = 15,495.60 × 5,134.16
  4. Step 4: Simplify right side
    10,329.68x = 79,556,889.70
  5. Step 5: Solve for x
    x = 79,556,889.70/10,329.68
  6. Step 6: Final answer
    x = 7,701.78

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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.