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Finding the Fourth Proportional to 7,677.56, 10,587.78 and 7,104.84

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Solution

The fourth proportional to 7,677.56, 10,587.78 and 7,104.84 is: 9,797.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,677.56 : 10,587.78 = 7,104.84 : x
  2. Step 2: Convert to fraction form
    7,677.56/10,587.78 = 7,104.84/x
  3. Step 3: Cross multiply
    7,677.56x = 10,587.78 × 7,104.84
  4. Step 4: Simplify right side
    7,677.56x = 75,224,482.86
  5. Step 5: Solve for x
    x = 75,224,482.86/7,677.56
  6. Step 6: Final answer
    x = 9,797.97

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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.