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Finding the Fourth Proportional to 10,586.40, 15,858.18 and 5,045.10

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Solution

The fourth proportional to 10,586.40, 15,858.18 and 5,045.10 is: 7,557.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,586.40 : 15,858.18 = 5,045.10 : x
  2. Step 2: Convert to fraction form
    10,586.40/15,858.18 = 5,045.10/x
  3. Step 3: Cross multiply
    10,586.40x = 15,858.18 × 5,045.10
  4. Step 4: Simplify right side
    10,586.40x = 80,006,103.92
  5. Step 5: Solve for x
    x = 80,006,103.92/10,586.40
  6. Step 6: Final answer
    x = 7,557.44

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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.