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Finding the Fourth Proportional to 10,347.48, 14,282.72 and 5,874.20

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Solution

The fourth proportional to 10,347.48, 14,282.72 and 5,874.20 is: 8,108.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,347.48 : 14,282.72 = 5,874.20 : x
  2. Step 2: Convert to fraction form
    10,347.48/14,282.72 = 5,874.20/x
  3. Step 3: Cross multiply
    10,347.48x = 14,282.72 × 5,874.20
  4. Step 4: Simplify right side
    10,347.48x = 83,899,553.82
  5. Step 5: Solve for x
    x = 83,899,553.82/10,347.48
  6. Step 6: Final answer
    x = 8,108.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.