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Finding the Fourth Proportional to 8,802.64, 13,214.16 and 6,959.92

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Solution

The fourth proportional to 8,802.64, 13,214.16 and 6,959.92 is: 10,447.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,802.64 : 13,214.16 = 6,959.92 : x
  2. Step 2: Convert to fraction form
    8,802.64/13,214.16 = 6,959.92/x
  3. Step 3: Cross multiply
    8,802.64x = 13,214.16 × 6,959.92
  4. Step 4: Simplify right side
    8,802.64x = 91,969,496.47
  5. Step 5: Solve for x
    x = 91,969,496.47/8,802.64
  6. Step 6: Final answer
    x = 10,447.94

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Why These Related Problems?

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