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Finding the Fourth Proportional to 8,434.26, 11,642.76 and 7,559.46

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Solution

The fourth proportional to 8,434.26, 11,642.76 and 7,559.46 is: 10,435.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,434.26 : 11,642.76 = 7,559.46 : x
  2. Step 2: Convert to fraction form
    8,434.26/11,642.76 = 7,559.46/x
  3. Step 3: Cross multiply
    8,434.26x = 11,642.76 × 7,559.46
  4. Step 4: Simplify right side
    8,434.26x = 88,012,978.51
  5. Step 5: Solve for x
    x = 88,012,978.51/8,434.26
  6. Step 6: Final answer
    x = 10,435.17

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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.