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Finding the Fourth Proportional to 7,802.26, 10,767.22 and 4,265.47

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Solution

The fourth proportional to 7,802.26, 10,767.22 and 4,265.47 is: 5,886.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,802.26 : 10,767.22 = 4,265.47 : x
  2. Step 2: Convert to fraction form
    7,802.26/10,767.22 = 4,265.47/x
  3. Step 3: Cross multiply
    7,802.26x = 10,767.22 × 4,265.47
  4. Step 4: Simplify right side
    7,802.26x = 45,927,256.69
  5. Step 5: Solve for x
    x = 45,927,256.69/7,802.26
  6. Step 6: Final answer
    x = 5,886.41

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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.