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Finding the Fourth Proportional to 8,927.98, 13,379.13 and 5,024.14

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Solution

The fourth proportional to 8,927.98, 13,379.13 and 5,024.14 is: 7,528.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,927.98 : 13,379.13 = 5,024.14 : x
  2. Step 2: Convert to fraction form
    8,927.98/13,379.13 = 5,024.14/x
  3. Step 3: Cross multiply
    8,927.98x = 13,379.13 × 5,024.14
  4. Step 4: Simplify right side
    8,927.98x = 67,218,622.20
  5. Step 5: Solve for x
    x = 67,218,622.20/8,927.98
  6. Step 6: Final answer
    x = 7,528.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.