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Finding the Fourth Proportional to 10,332, 14,258.16 and 6,139.44

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Solution

The fourth proportional to 10,332, 14,258.16 and 6,139.44 is: 8,472.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,332 : 14,258.16 = 6,139.44 : x
  2. Step 2: Convert to fraction form
    10,332/14,258.16 = 6,139.44/x
  3. Step 3: Cross multiply
    10,332x = 14,258.16 × 6,139.44
  4. Step 4: Simplify right side
    10,332x = 87,537,117.83
  5. Step 5: Solve for x
    x = 87,537,117.83/10,332
  6. Step 6: Final answer
    x = 8,472.43

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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.