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Finding the Fourth Proportional to 8,829, 12,191.31 and 7,638.30

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Solution

The fourth proportional to 8,829, 12,191.31 and 7,638.30 is: 10,547.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,829 : 12,191.31 = 7,638.30 : x
  2. Step 2: Convert to fraction form
    8,829/12,191.31 = 7,638.30/x
  3. Step 3: Cross multiply
    8,829x = 12,191.31 × 7,638.30
  4. Step 4: Simplify right side
    8,829x = 93,120,883.17
  5. Step 5: Solve for x
    x = 93,120,883.17/8,829
  6. Step 6: Final answer
    x = 10,547.16

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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.