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Finding the Fourth Proportional to 8,447.28, 12,674.60 and 4,547.12

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Solution

The fourth proportional to 8,447.28, 12,674.60 and 4,547.12 is: 6,822.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,447.28 : 12,674.60 = 4,547.12 : x
  2. Step 2: Convert to fraction form
    8,447.28/12,674.60 = 4,547.12/x
  3. Step 3: Cross multiply
    8,447.28x = 12,674.60 × 4,547.12
  4. Step 4: Simplify right side
    8,447.28x = 57,632,927.15
  5. Step 5: Solve for x
    x = 57,632,927.15/8,447.28
  6. Step 6: Final answer
    x = 6,822.66

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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.