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Finding the Fourth Proportional to 10,455.84, 15,686.20 and 3,060.42

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Solution

The fourth proportional to 10,455.84, 15,686.20 and 3,060.42 is: 4,591.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,455.84 : 15,686.20 = 3,060.42 : x
  2. Step 2: Convert to fraction form
    10,455.84/15,686.20 = 3,060.42/x
  3. Step 3: Cross multiply
    10,455.84x = 15,686.20 × 3,060.42
  4. Step 4: Simplify right side
    10,455.84x = 48,006,360.20
  5. Step 5: Solve for x
    x = 48,006,360.20/10,455.84
  6. Step 6: Final answer
    x = 4,591.34

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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.