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Finding the Fourth Proportional to 10,352.70, 15,529.05 and 10,064.70

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Solution

The fourth proportional to 10,352.70, 15,529.05 and 10,064.70 is: 15,097.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,352.70 : 15,529.05 = 10,064.70 : x
  2. Step 2: Convert to fraction form
    10,352.70/15,529.05 = 10,064.70/x
  3. Step 3: Cross multiply
    10,352.70x = 15,529.05 × 10,064.70
  4. Step 4: Simplify right side
    10,352.70x = 156,295,229.54
  5. Step 5: Solve for x
    x = 156,295,229.54/10,352.70
  6. Step 6: Final answer
    x = 15,097.05

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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.