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Finding the Fourth Proportional to 8,566, 11,822.34 and 5,031.16

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Solution

The fourth proportional to 8,566, 11,822.34 and 5,031.16 is: 6,943.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,566 : 11,822.34 = 5,031.16 : x
  2. Step 2: Convert to fraction form
    8,566/11,822.34 = 5,031.16/x
  3. Step 3: Cross multiply
    8,566x = 11,822.34 × 5,031.16
  4. Step 4: Simplify right side
    8,566x = 59,480,084.11
  5. Step 5: Solve for x
    x = 59,480,084.11/8,566
  6. Step 6: Final answer
    x = 6,943.74

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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.