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Finding the Fourth Proportional to 8,701.68, 11,988.36 and 7,140

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Solution

The fourth proportional to 8,701.68, 11,988.36 and 7,140 is: 9,836.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,701.68 : 11,988.36 = 7,140 : x
  2. Step 2: Convert to fraction form
    8,701.68/11,988.36 = 7,140/x
  3. Step 3: Cross multiply
    8,701.68x = 11,988.36 × 7,140
  4. Step 4: Simplify right side
    8,701.68x = 85,596,890.40
  5. Step 5: Solve for x
    x = 85,596,890.40/8,701.68
  6. Step 6: Final answer
    x = 9,836.82

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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.