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Finding the Fourth Proportional to 8,032.77, 11,085.66 and 4,496.72

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Solution

The fourth proportional to 8,032.77, 11,085.66 and 4,496.72 is: 6,205.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,032.77 : 11,085.66 = 4,496.72 : x
  2. Step 2: Convert to fraction form
    8,032.77/11,085.66 = 4,496.72/x
  3. Step 3: Cross multiply
    8,032.77x = 11,085.66 × 4,496.72
  4. Step 4: Simplify right side
    8,032.77x = 49,849,053.61
  5. Step 5: Solve for x
    x = 49,849,053.61/8,032.77
  6. Step 6: Final answer
    x = 6,205.71

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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.