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Finding the Fourth Proportional to 7,677.74, 10,587.96 and 7,111.82

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Solution

The fourth proportional to 7,677.74, 10,587.96 and 7,111.82 is: 9,807.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,677.74 : 10,587.96 = 7,111.82 : x
  2. Step 2: Convert to fraction form
    7,677.74/10,587.96 = 7,111.82/x
  3. Step 3: Cross multiply
    7,677.74x = 10,587.96 × 7,111.82
  4. Step 4: Simplify right side
    7,677.74x = 75,299,612.75
  5. Step 5: Solve for x
    x = 75,299,612.75/7,677.74
  6. Step 6: Final answer
    x = 9,807.53

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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.