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Finding the Fourth Proportional to 8,641.92, 11,926 and 5,284.32

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Solution

The fourth proportional to 8,641.92, 11,926 and 5,284.32 is: 7,292.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,641.92 : 11,926 = 5,284.32 : x
  2. Step 2: Convert to fraction form
    8,641.92/11,926 = 5,284.32/x
  3. Step 3: Cross multiply
    8,641.92x = 11,926 × 5,284.32
  4. Step 4: Simplify right side
    8,641.92x = 63,020,800.32
  5. Step 5: Solve for x
    x = 63,020,800.32/8,641.92
  6. Step 6: Final answer
    x = 7,292.45

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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.