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Finding the Fourth Proportional to 7,776.32, 11,666.30 and 6,614.28

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Solution

The fourth proportional to 7,776.32, 11,666.30 and 6,614.28 is: 9,922.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,776.32 : 11,666.30 = 6,614.28 : x
  2. Step 2: Convert to fraction form
    7,776.32/11,666.30 = 6,614.28/x
  3. Step 3: Cross multiply
    7,776.32x = 11,666.30 × 6,614.28
  4. Step 4: Simplify right side
    7,776.32x = 77,164,141.69
  5. Step 5: Solve for x
    x = 77,164,141.69/7,776.32
  6. Step 6: Final answer
    x = 9,922.97

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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.