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Finding the Fourth Proportional to 7,677.79, 10,595.14 and 4,693.61

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Solution

The fourth proportional to 7,677.79, 10,595.14 and 4,693.61 is: 6,477.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,677.79 : 10,595.14 = 4,693.61 : x
  2. Step 2: Convert to fraction form
    7,677.79/10,595.14 = 4,693.61/x
  3. Step 3: Cross multiply
    7,677.79x = 10,595.14 × 4,693.61
  4. Step 4: Simplify right side
    7,677.79x = 49,729,469.81
  5. Step 5: Solve for x
    x = 49,729,469.81/7,677.79
  6. Step 6: Final answer
    x = 6,477.06

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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.