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Finding the Fourth Proportional to 8,288.94, 12,432.06 and 2,365.32

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Solution

The fourth proportional to 8,288.94, 12,432.06 and 2,365.32 is: 3,547.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,288.94 : 12,432.06 = 2,365.32 : x
  2. Step 2: Convert to fraction form
    8,288.94/12,432.06 = 2,365.32/x
  3. Step 3: Cross multiply
    8,288.94x = 12,432.06 × 2,365.32
  4. Step 4: Simplify right side
    8,288.94x = 29,405,800.16
  5. Step 5: Solve for x
    x = 29,405,800.16/8,288.94
  6. Step 6: Final answer
    x = 3,547.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.