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Finding the Fourth Proportional to 10,598.50, 15,890.73 and 5,052.70

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Solution

The fourth proportional to 10,598.50, 15,890.73 and 5,052.70 is: 7,575.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,598.50 : 15,890.73 = 5,052.70 : x
  2. Step 2: Convert to fraction form
    10,598.50/15,890.73 = 5,052.70/x
  3. Step 3: Cross multiply
    10,598.50x = 15,890.73 × 5,052.70
  4. Step 4: Simplify right side
    10,598.50x = 80,291,091.47
  5. Step 5: Solve for x
    x = 80,291,091.47/10,598.50
  6. Step 6: Final answer
    x = 7,575.70

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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.