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Finding the Fourth Proportional to 10,591.62, 15,897.75 and 5,048.79

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Solution

The fourth proportional to 10,591.62, 15,897.75 and 5,048.79 is: 7,578.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,591.62 : 15,897.75 = 5,048.79 : x
  2. Step 2: Convert to fraction form
    10,591.62/15,897.75 = 5,048.79/x
  3. Step 3: Cross multiply
    10,591.62x = 15,897.75 × 5,048.79
  4. Step 4: Simplify right side
    10,591.62x = 80,264,401.22
  5. Step 5: Solve for x
    x = 80,264,401.22/10,591.62
  6. Step 6: Final answer
    x = 7,578.10

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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.