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Finding the Fourth Proportional to 7,677.59, 10,594.80 and 4,693.55

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Solution

The fourth proportional to 7,677.59, 10,594.80 and 4,693.55 is: 6,476.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,677.59 : 10,594.80 = 4,693.55 : x
  2. Step 2: Convert to fraction form
    7,677.59/10,594.80 = 4,693.55/x
  3. Step 3: Cross multiply
    7,677.59x = 10,594.80 × 4,693.55
  4. Step 4: Simplify right side
    7,677.59x = 49,727,170.57
  5. Step 5: Solve for x
    x = 49,727,170.57/7,677.59
  6. Step 6: Final answer
    x = 6,476.93

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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.