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Finding the Fourth Proportional to 7,767.61, 11,653.54 and 6,585.41

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Solution

The fourth proportional to 7,767.61, 11,653.54 and 6,585.41 is: 9,879.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,767.61 : 11,653.54 = 6,585.41 : x
  2. Step 2: Convert to fraction form
    7,767.61/11,653.54 = 6,585.41/x
  3. Step 3: Cross multiply
    7,767.61x = 11,653.54 × 6,585.41
  4. Step 4: Simplify right side
    7,767.61x = 76,743,351.52
  5. Step 5: Solve for x
    x = 76,743,351.52/7,767.61
  6. Step 6: Final answer
    x = 9,879.92

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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.