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Finding the Fourth Proportional to 8,531.40, 12,729.84 and 7,701.96

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Solution

The fourth proportional to 8,531.40, 12,729.84 and 7,701.96 is: 11,492.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,531.40 : 12,729.84 = 7,701.96 : x
  2. Step 2: Convert to fraction form
    8,531.40/12,729.84 = 7,701.96/x
  3. Step 3: Cross multiply
    8,531.40x = 12,729.84 × 7,701.96
  4. Step 4: Simplify right side
    8,531.40x = 98,044,718.49
  5. Step 5: Solve for x
    x = 98,044,718.49/8,531.40
  6. Step 6: Final answer
    x = 11,492.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.