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Finding the Fourth Proportional to 10,275.64, 15,418.86 and 5,599

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Solution

The fourth proportional to 10,275.64, 15,418.86 and 5,599 is: 8,401.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,275.64 : 15,418.86 = 5,599 : x
  2. Step 2: Convert to fraction form
    10,275.64/15,418.86 = 5,599/x
  3. Step 3: Cross multiply
    10,275.64x = 15,418.86 × 5,599
  4. Step 4: Simplify right side
    10,275.64x = 86,330,197.14
  5. Step 5: Solve for x
    x = 86,330,197.14/10,275.64
  6. Step 6: Final answer
    x = 8,401.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.