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Finding the Fourth Proportional to 10,151.57, 15,235.05 and 4,312.28

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Solution

The fourth proportional to 10,151.57, 15,235.05 and 4,312.28 is: 6,471.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,151.57 : 15,235.05 = 4,312.28 : x
  2. Step 2: Convert to fraction form
    10,151.57/15,235.05 = 4,312.28/x
  3. Step 3: Cross multiply
    10,151.57x = 15,235.05 × 4,312.28
  4. Step 4: Simplify right side
    10,151.57x = 65,697,801.41
  5. Step 5: Solve for x
    x = 65,697,801.41/10,151.57
  6. Step 6: Final answer
    x = 6,471.69

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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.