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Finding the Fourth Proportional to 8,378.36, 12,569.60 and 5,917.98

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Solution

The fourth proportional to 8,378.36, 12,569.60 and 5,917.98 is: 8,878.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,378.36 : 12,569.60 = 5,917.98 : x
  2. Step 2: Convert to fraction form
    8,378.36/12,569.60 = 5,917.98/x
  3. Step 3: Cross multiply
    8,378.36x = 12,569.60 × 5,917.98
  4. Step 4: Simplify right side
    8,378.36x = 74,386,641.41
  5. Step 5: Solve for x
    x = 74,386,641.41/8,378.36
  6. Step 6: Final answer
    x = 8,878.43

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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.