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Finding the Fourth Proportional to 8,828.72, 12,182.28 and 5,102

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Solution

The fourth proportional to 8,828.72, 12,182.28 and 5,102 is: 7,039.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,828.72 : 12,182.28 = 5,102 : x
  2. Step 2: Convert to fraction form
    8,828.72/12,182.28 = 5,102/x
  3. Step 3: Cross multiply
    8,828.72x = 12,182.28 × 5,102
  4. Step 4: Simplify right side
    8,828.72x = 62,153,992.56
  5. Step 5: Solve for x
    x = 62,153,992.56/8,828.72
  6. Step 6: Final answer
    x = 7,039.98

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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.