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Finding the Fourth Proportional to 10,593.45, 14,619.65 and 6,117.39

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Solution

The fourth proportional to 10,593.45, 14,619.65 and 6,117.39 is: 8,442.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,593.45 : 14,619.65 = 6,117.39 : x
  2. Step 2: Convert to fraction form
    10,593.45/14,619.65 = 6,117.39/x
  3. Step 3: Cross multiply
    10,593.45x = 14,619.65 × 6,117.39
  4. Step 4: Simplify right side
    10,593.45x = 89,434,070.13
  5. Step 5: Solve for x
    x = 89,434,070.13/10,593.45
  6. Step 6: Final answer
    x = 8,442.39

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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.