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Finding the Fourth Proportional to 10,172.85, 15,260.21 and 3,152.91

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Solution

The fourth proportional to 10,172.85, 15,260.21 and 3,152.91 is: 4,729.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,172.85 : 15,260.21 = 3,152.91 : x
  2. Step 2: Convert to fraction form
    10,172.85/15,260.21 = 3,152.91/x
  3. Step 3: Cross multiply
    10,172.85x = 15,260.21 × 3,152.91
  4. Step 4: Simplify right side
    10,172.85x = 48,114,068.71
  5. Step 5: Solve for x
    x = 48,114,068.71/10,172.85
  6. Step 6: Final answer
    x = 4,729.65

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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.