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Finding the Fourth Proportional to 7,959.40, 11,909.08 and 7,151

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Solution

The fourth proportional to 7,959.40, 11,909.08 and 7,151 is: 10,699.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,959.40 : 11,909.08 = 7,151 : x
  2. Step 2: Convert to fraction form
    7,959.40/11,909.08 = 7,151/x
  3. Step 3: Cross multiply
    7,959.40x = 11,909.08 × 7,151
  4. Step 4: Simplify right side
    7,959.40x = 85,161,831.08
  5. Step 5: Solve for x
    x = 85,161,831.08/7,959.40
  6. Step 6: Final answer
    x = 10,699.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.