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Finding the Fourth Proportional to 10,445.34, 15,658.02 and 3,869.76

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Solution

The fourth proportional to 10,445.34, 15,658.02 and 3,869.76 is: 5,800.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,445.34 : 15,658.02 = 3,869.76 : x
  2. Step 2: Convert to fraction form
    10,445.34/15,658.02 = 3,869.76/x
  3. Step 3: Cross multiply
    10,445.34x = 15,658.02 × 3,869.76
  4. Step 4: Simplify right side
    10,445.34x = 60,592,779.48
  5. Step 5: Solve for x
    x = 60,592,779.48/10,445.34
  6. Step 6: Final answer
    x = 5,800.94

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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.