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Finding the Fourth Proportional to 11,565.36, 17,411.07 and 7,890.74

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Solution

The fourth proportional to 11,565.36, 17,411.07 and 7,890.74 is: 11,879.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,565.36 : 17,411.07 = 7,890.74 : x
  2. Step 2: Convert to fraction form
    11,565.36/17,411.07 = 7,890.74/x
  3. Step 3: Cross multiply
    11,565.36x = 17,411.07 × 7,890.74
  4. Step 4: Simplify right side
    11,565.36x = 137,386,139.44
  5. Step 5: Solve for x
    x = 137,386,139.44/11,565.36
  6. Step 6: Final answer
    x = 11,879.11

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.