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Finding the Fourth Proportional to 8,435.79, 11,642.13 and 5,078.61

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Solution

The fourth proportional to 8,435.79, 11,642.13 and 5,078.61 is: 7,008.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,435.79 : 11,642.13 = 5,078.61 : x
  2. Step 2: Convert to fraction form
    8,435.79/11,642.13 = 5,078.61/x
  3. Step 3: Cross multiply
    8,435.79x = 11,642.13 × 5,078.61
  4. Step 4: Simplify right side
    8,435.79x = 59,125,837.84
  5. Step 5: Solve for x
    x = 59,125,837.84/8,435.79
  6. Step 6: Final answer
    x = 7,008.93

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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.