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Finding the Fourth Proportional to 8,782.16, 12,098.76 and 7,219.28

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Solution

The fourth proportional to 8,782.16, 12,098.76 and 7,219.28 is: 9,945.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,782.16 : 12,098.76 = 7,219.28 : x
  2. Step 2: Convert to fraction form
    8,782.16/12,098.76 = 7,219.28/x
  3. Step 3: Cross multiply
    8,782.16x = 12,098.76 × 7,219.28
  4. Step 4: Simplify right side
    8,782.16x = 87,344,336.09
  5. Step 5: Solve for x
    x = 87,344,336.09/8,782.16
  6. Step 6: Final answer
    x = 9,945.66

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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.