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Finding the Fourth Proportional to 10,498.17, 14,487.64 and 5,718.34

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Solution

The fourth proportional to 10,498.17, 14,487.64 and 5,718.34 is: 7,891.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,498.17 : 14,487.64 = 5,718.34 : x
  2. Step 2: Convert to fraction form
    10,498.17/14,487.64 = 5,718.34/x
  3. Step 3: Cross multiply
    10,498.17x = 14,487.64 × 5,718.34
  4. Step 4: Simplify right side
    10,498.17x = 82,845,209.02
  5. Step 5: Solve for x
    x = 82,845,209.02/10,498.17
  6. Step 6: Final answer
    x = 7,891.39

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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.