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Finding the Fourth Proportional to 10,586.34, 15,858.24 and 5,045.04

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Solution

The fourth proportional to 10,586.34, 15,858.24 and 5,045.04 is: 7,557.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,586.34 : 15,858.24 = 5,045.04 : x
  2. Step 2: Convert to fraction form
    10,586.34/15,858.24 = 5,045.04/x
  3. Step 3: Cross multiply
    10,586.34x = 15,858.24 × 5,045.04
  4. Step 4: Simplify right side
    10,586.34x = 80,005,455.13
  5. Step 5: Solve for x
    x = 80,005,455.13/10,586.34
  6. Step 6: Final answer
    x = 7,557.42

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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.