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Finding the Fourth Proportional to 10,358.55, 15,537.83 and 5,429.70

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Solution

The fourth proportional to 10,358.55, 15,537.83 and 5,429.70 is: 8,144.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,358.55 : 15,537.83 = 5,429.70 : x
  2. Step 2: Convert to fraction form
    10,358.55/15,537.83 = 5,429.70/x
  3. Step 3: Cross multiply
    10,358.55x = 15,537.83 × 5,429.70
  4. Step 4: Simplify right side
    10,358.55x = 84,365,728.40
  5. Step 5: Solve for x
    x = 84,365,728.40/10,358.55
  6. Step 6: Final answer
    x = 8,144.55

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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.