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Finding the Fourth Proportional to 6,788.57, 10,116.18 and 6,565.59

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Solution

The fourth proportional to 6,788.57, 10,116.18 and 6,565.59 is: 9,783.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,788.57 : 10,116.18 = 6,565.59 : x
  2. Step 2: Convert to fraction form
    6,788.57/10,116.18 = 6,565.59/x
  3. Step 3: Cross multiply
    6,788.57x = 10,116.18 × 6,565.59
  4. Step 4: Simplify right side
    6,788.57x = 66,418,690.25
  5. Step 5: Solve for x
    x = 66,418,690.25/6,788.57
  6. Step 6: Final answer
    x = 9,783.91

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.