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Finding the Fourth Proportional to 8,225.79, 11,345.40 and 5,707.92

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Solution

The fourth proportional to 8,225.79, 11,345.40 and 5,707.92 is: 7,872.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,225.79 : 11,345.40 = 5,707.92 : x
  2. Step 2: Convert to fraction form
    8,225.79/11,345.40 = 5,707.92/x
  3. Step 3: Cross multiply
    8,225.79x = 11,345.40 × 5,707.92
  4. Step 4: Simplify right side
    8,225.79x = 64,758,635.57
  5. Step 5: Solve for x
    x = 64,758,635.57/8,225.79
  6. Step 6: Final answer
    x = 7,872.63

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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.