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Finding the Fourth Proportional to 7,977.60, 10,988.64 and 6,717.12

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Solution

The fourth proportional to 7,977.60, 10,988.64 and 6,717.12 is: 9,252.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,977.60 : 10,988.64 = 6,717.12 : x
  2. Step 2: Convert to fraction form
    7,977.60/10,988.64 = 6,717.12/x
  3. Step 3: Cross multiply
    7,977.60x = 10,988.64 × 6,717.12
  4. Step 4: Simplify right side
    7,977.60x = 73,812,013.52
  5. Step 5: Solve for x
    x = 73,812,013.52/7,977.60
  6. Step 6: Final answer
    x = 9,252.41

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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.