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Finding the Fourth Proportional to 7,951.40, 11,927.10 and 6,566.30

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Solution

The fourth proportional to 7,951.40, 11,927.10 and 6,566.30 is: 9,849.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,951.40 : 11,927.10 = 6,566.30 : x
  2. Step 2: Convert to fraction form
    7,951.40/11,927.10 = 6,566.30/x
  3. Step 3: Cross multiply
    7,951.40x = 11,927.10 × 6,566.30
  4. Step 4: Simplify right side
    7,951.40x = 78,316,916.73
  5. Step 5: Solve for x
    x = 78,316,916.73/7,951.40
  6. Step 6: Final answer
    x = 9,849.45

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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.