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Finding the Fourth Proportional to 7,785.15, 11,683.64 and 5,710.42

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Solution

The fourth proportional to 7,785.15, 11,683.64 and 5,710.42 is: 8,569.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,785.15 : 11,683.64 = 5,710.42 : x
  2. Step 2: Convert to fraction form
    7,785.15/11,683.64 = 5,710.42/x
  3. Step 3: Cross multiply
    7,785.15x = 11,683.64 × 5,710.42
  4. Step 4: Simplify right side
    7,785.15x = 66,718,491.53
  5. Step 5: Solve for x
    x = 66,718,491.53/7,785.15
  6. Step 6: Final answer
    x = 8,569.97

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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.