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Finding the Fourth Proportional to 8,927.14, 13,390.89 and 5,031.43

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Solution

The fourth proportional to 8,927.14, 13,390.89 and 5,031.43 is: 7,547.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,927.14 : 13,390.89 = 5,031.43 : x
  2. Step 2: Convert to fraction form
    8,927.14/13,390.89 = 5,031.43/x
  3. Step 3: Cross multiply
    8,927.14x = 13,390.89 × 5,031.43
  4. Step 4: Simplify right side
    8,927.14x = 67,375,325.67
  5. Step 5: Solve for x
    x = 67,375,325.67/8,927.14
  6. Step 6: Final answer
    x = 7,547.25

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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.