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Finding the Fourth Proportional to 8,364.47, 11,547.97 and 5,224.91

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Solution

The fourth proportional to 8,364.47, 11,547.97 and 5,224.91 is: 7,213.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,364.47 : 11,547.97 = 5,224.91 : x
  2. Step 2: Convert to fraction form
    8,364.47/11,547.97 = 5,224.91/x
  3. Step 3: Cross multiply
    8,364.47x = 11,547.97 × 5,224.91
  4. Step 4: Simplify right side
    8,364.47x = 60,337,033.13
  5. Step 5: Solve for x
    x = 60,337,033.13/8,364.47
  6. Step 6: Final answer
    x = 7,213.50

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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.