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Finding the Fourth Proportional to 8,342.54, 11,511.72 and 4,984.59

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Solution

The fourth proportional to 8,342.54, 11,511.72 and 4,984.59 is: 6,878.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,342.54 : 11,511.72 = 4,984.59 : x
  2. Step 2: Convert to fraction form
    8,342.54/11,511.72 = 4,984.59/x
  3. Step 3: Cross multiply
    8,342.54x = 11,511.72 × 4,984.59
  4. Step 4: Simplify right side
    8,342.54x = 57,381,182.81
  5. Step 5: Solve for x
    x = 57,381,182.81/8,342.54
  6. Step 6: Final answer
    x = 6,878.14

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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.