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Finding the Fourth Proportional to 10,510.68, 15,765.95 and 3,115.18

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Solution

The fourth proportional to 10,510.68, 15,765.95 and 3,115.18 is: 4,672.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,510.68 : 15,765.95 = 3,115.18 : x
  2. Step 2: Convert to fraction form
    10,510.68/15,765.95 = 3,115.18/x
  3. Step 3: Cross multiply
    10,510.68x = 15,765.95 × 3,115.18
  4. Step 4: Simplify right side
    10,510.68x = 49,113,677.72
  5. Step 5: Solve for x
    x = 49,113,677.72/10,510.68
  6. Step 6: Final answer
    x = 4,672.74

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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.