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Finding the Fourth Proportional to 10,156.25, 15,240.86 and 4,312.85

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Solution

The fourth proportional to 10,156.25, 15,240.86 and 4,312.85 is: 6,472.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,156.25 : 15,240.86 = 4,312.85 : x
  2. Step 2: Convert to fraction form
    10,156.25/15,240.86 = 4,312.85/x
  3. Step 3: Cross multiply
    10,156.25x = 15,240.86 × 4,312.85
  4. Step 4: Simplify right side
    10,156.25x = 65,731,445.28
  5. Step 5: Solve for x
    x = 65,731,445.28/10,156.25
  6. Step 6: Final answer
    x = 6,472.02

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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.