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Finding the Fourth Proportional to 10,655.88, 14,705.28 and 5,940

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Solution

The fourth proportional to 10,655.88, 14,705.28 and 5,940 is: 8,197.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,655.88 : 14,705.28 = 5,940 : x
  2. Step 2: Convert to fraction form
    10,655.88/14,705.28 = 5,940/x
  3. Step 3: Cross multiply
    10,655.88x = 14,705.28 × 5,940
  4. Step 4: Simplify right side
    10,655.88x = 87,349,363.20
  5. Step 5: Solve for x
    x = 87,349,363.20/10,655.88
  6. Step 6: Final answer
    x = 8,197.29

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Why These Related Problems?

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