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Finding the Fourth Proportional to 8,102.40, 11,185.92 and 5,588.16

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Solution

The fourth proportional to 8,102.40, 11,185.92 and 5,588.16 is: 7,714.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,102.40 : 11,185.92 = 5,588.16 : x
  2. Step 2: Convert to fraction form
    8,102.40/11,185.92 = 5,588.16/x
  3. Step 3: Cross multiply
    8,102.40x = 11,185.92 × 5,588.16
  4. Step 4: Simplify right side
    8,102.40x = 62,508,710.71
  5. Step 5: Solve for x
    x = 62,508,710.71/8,102.40
  6. Step 6: Final answer
    x = 7,714.84

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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.