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Finding the Fourth Proportional to 10,138.32, 13,988.16 and 6,364.80

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Solution

The fourth proportional to 10,138.32, 13,988.16 and 6,364.80 is: 8,781.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,138.32 : 13,988.16 = 6,364.80 : x
  2. Step 2: Convert to fraction form
    10,138.32/13,988.16 = 6,364.80/x
  3. Step 3: Cross multiply
    10,138.32x = 13,988.16 × 6,364.80
  4. Step 4: Simplify right side
    10,138.32x = 89,031,840.77
  5. Step 5: Solve for x
    x = 89,031,840.77/10,138.32
  6. Step 6: Final answer
    x = 8,781.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.