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Finding the Fourth Proportional to 7,261.68, 10,820.37 and 6,909.06

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Solution

The fourth proportional to 7,261.68, 10,820.37 and 6,909.06 is: 10,294.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,261.68 : 10,820.37 = 6,909.06 : x
  2. Step 2: Convert to fraction form
    7,261.68/10,820.37 = 6,909.06/x
  3. Step 3: Cross multiply
    7,261.68x = 10,820.37 × 6,909.06
  4. Step 4: Simplify right side
    7,261.68x = 74,758,585.55
  5. Step 5: Solve for x
    x = 74,758,585.55/7,261.68
  6. Step 6: Final answer
    x = 10,294.94

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.