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Finding the Fourth Proportional to 10,655.52, 14,703.96 and 5,940

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Solution

The fourth proportional to 10,655.52, 14,703.96 and 5,940 is: 8,196.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,655.52 : 14,703.96 = 5,940 : x
  2. Step 2: Convert to fraction form
    10,655.52/14,703.96 = 5,940/x
  3. Step 3: Cross multiply
    10,655.52x = 14,703.96 × 5,940
  4. Step 4: Simplify right side
    10,655.52x = 87,341,522.40
  5. Step 5: Solve for x
    x = 87,341,522.40/10,655.52
  6. Step 6: Final answer
    x = 8,196.83

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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.