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Finding the Fourth Proportional to 10,510.62, 15,765.90 and 3,114.51

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Solution

The fourth proportional to 10,510.62, 15,765.90 and 3,114.51 is: 4,671.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,510.62 : 15,765.90 = 3,114.51 : x
  2. Step 2: Convert to fraction form
    10,510.62/15,765.90 = 3,114.51/x
  3. Step 3: Cross multiply
    10,510.62x = 15,765.90 × 3,114.51
  4. Step 4: Simplify right side
    10,510.62x = 49,103,053.21
  5. Step 5: Solve for x
    x = 49,103,053.21/10,510.62
  6. Step 6: Final answer
    x = 4,671.76

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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.