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Finding the Fourth Proportional to 7,660.94, 10,565.60 and 6,471.77

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Solution

The fourth proportional to 7,660.94, 10,565.60 and 6,471.77 is: 8,925.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,660.94 : 10,565.60 = 6,471.77 : x
  2. Step 2: Convert to fraction form
    7,660.94/10,565.60 = 6,471.77/x
  3. Step 3: Cross multiply
    7,660.94x = 10,565.60 × 6,471.77
  4. Step 4: Simplify right side
    7,660.94x = 68,378,047.93
  5. Step 5: Solve for x
    x = 68,378,047.93/7,660.94
  6. Step 6: Final answer
    x = 8,925.55

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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.