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Finding the Fourth Proportional to 10,063.24, 15,098.46 and 4,516

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Solution

The fourth proportional to 10,063.24, 15,098.46 and 4,516 is: 6,775.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,063.24 : 15,098.46 = 4,516 : x
  2. Step 2: Convert to fraction form
    10,063.24/15,098.46 = 4,516/x
  3. Step 3: Cross multiply
    10,063.24x = 15,098.46 × 4,516
  4. Step 4: Simplify right side
    10,063.24x = 68,184,645.36
  5. Step 5: Solve for x
    x = 68,184,645.36/10,063.24
  6. Step 6: Final answer
    x = 6,775.62

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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.