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Finding the Fourth Proportional to 7,726.60, 10,656.50 and 5,207.79

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Solution

The fourth proportional to 7,726.60, 10,656.50 and 5,207.79 is: 7,182.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,726.60 : 10,656.50 = 5,207.79 : x
  2. Step 2: Convert to fraction form
    7,726.60/10,656.50 = 5,207.79/x
  3. Step 3: Cross multiply
    7,726.60x = 10,656.50 × 5,207.79
  4. Step 4: Simplify right side
    7,726.60x = 55,496,850.03
  5. Step 5: Solve for x
    x = 55,496,850.03/7,726.60
  6. Step 6: Final answer
    x = 7,182.57

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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.