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Finding the Fourth Proportional to 8,715.66, 12,029.37 and 5,178.19

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Solution

The fourth proportional to 8,715.66, 12,029.37 and 5,178.19 is: 7,146.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,715.66 : 12,029.37 = 5,178.19 : x
  2. Step 2: Convert to fraction form
    8,715.66/12,029.37 = 5,178.19/x
  3. Step 3: Cross multiply
    8,715.66x = 12,029.37 × 5,178.19
  4. Step 4: Simplify right side
    8,715.66x = 62,290,333.37
  5. Step 5: Solve for x
    x = 62,290,333.37/8,715.66
  6. Step 6: Final answer
    x = 7,146.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.