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Finding the Fourth Proportional to 8,812.32, 13,223.70 and 3,547.82

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Solution

The fourth proportional to 8,812.32, 13,223.70 and 3,547.82 is: 5,323.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,812.32 : 13,223.70 = 3,547.82 : x
  2. Step 2: Convert to fraction form
    8,812.32/13,223.70 = 3,547.82/x
  3. Step 3: Cross multiply
    8,812.32x = 13,223.70 × 3,547.82
  4. Step 4: Simplify right side
    8,812.32x = 46,915,241.22
  5. Step 5: Solve for x
    x = 46,915,241.22/8,812.32
  6. Step 6: Final answer
    x = 5,323.82

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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.