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Finding the Fourth Proportional to 7,785.65, 11,684.39 and 5,710.92

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Solution

The fourth proportional to 7,785.65, 11,684.39 and 5,710.92 is: 8,570.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,785.65 : 11,684.39 = 5,710.92 : x
  2. Step 2: Convert to fraction form
    7,785.65/11,684.39 = 5,710.92/x
  3. Step 3: Cross multiply
    7,785.65x = 11,684.39 × 5,710.92
  4. Step 4: Simplify right side
    7,785.65x = 66,728,587.98
  5. Step 5: Solve for x
    x = 66,728,587.98/7,785.65
  6. Step 6: Final answer
    x = 8,570.72

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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.