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Finding the Fourth Proportional to 8,048.16, 11,117.88 and 7,659.36

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Solution

The fourth proportional to 8,048.16, 11,117.88 and 7,659.36 is: 10,580.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,048.16 : 11,117.88 = 7,659.36 : x
  2. Step 2: Convert to fraction form
    8,048.16/11,117.88 = 7,659.36/x
  3. Step 3: Cross multiply
    8,048.16x = 11,117.88 × 7,659.36
  4. Step 4: Simplify right side
    8,048.16x = 85,155,845.36
  5. Step 5: Solve for x
    x = 85,155,845.36/8,048.16
  6. Step 6: Final answer
    x = 10,580.78

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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.