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Finding the Fourth Proportional to 8,122.51, 11,205.74 and 5,470.77

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Solution

The fourth proportional to 8,122.51, 11,205.74 and 5,470.77 is: 7,547.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,122.51 : 11,205.74 = 5,470.77 : x
  2. Step 2: Convert to fraction form
    8,122.51/11,205.74 = 5,470.77/x
  3. Step 3: Cross multiply
    8,122.51x = 11,205.74 × 5,470.77
  4. Step 4: Simplify right side
    8,122.51x = 61,304,081.92
  5. Step 5: Solve for x
    x = 61,304,081.92/8,122.51
  6. Step 6: Final answer
    x = 7,547.43

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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.