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Finding the Fourth Proportional to 7,966.66, 11,952.48 and 6,217.63

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Solution

The fourth proportional to 7,966.66, 11,952.48 and 6,217.63 is: 9,328.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,966.66 : 11,952.48 = 6,217.63 : x
  2. Step 2: Convert to fraction form
    7,966.66/11,952.48 = 6,217.63/x
  3. Step 3: Cross multiply
    7,966.66x = 11,952.48 × 6,217.63
  4. Step 4: Simplify right side
    7,966.66x = 74,316,098.22
  5. Step 5: Solve for x
    x = 74,316,098.22/7,966.66
  6. Step 6: Final answer
    x = 9,328.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.