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Finding the Fourth Proportional to 8,434.14, 11,642.22 and 5,077.11

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Solution

The fourth proportional to 8,434.14, 11,642.22 and 5,077.11 is: 7,008.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,434.14 : 11,642.22 = 5,077.11 : x
  2. Step 2: Convert to fraction form
    8,434.14/11,642.22 = 5,077.11/x
  3. Step 3: Cross multiply
    8,434.14x = 11,642.22 × 5,077.11
  4. Step 4: Simplify right side
    8,434.14x = 59,108,831.58
  5. Step 5: Solve for x
    x = 59,108,831.58/8,434.14
  6. Step 6: Final answer
    x = 7,008.28

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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.