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Finding the Fourth Proportional to 7,802.42, 10,767.32 and 4,265.64

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Solution

The fourth proportional to 7,802.42, 10,767.32 and 4,265.64 is: 5,886.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,802.42 : 10,767.32 = 4,265.64 : x
  2. Step 2: Convert to fraction form
    7,802.42/10,767.32 = 4,265.64/x
  3. Step 3: Cross multiply
    7,802.42x = 10,767.32 × 4,265.64
  4. Step 4: Simplify right side
    7,802.42x = 45,929,510.88
  5. Step 5: Solve for x
    x = 45,929,510.88/7,802.42
  6. Step 6: Final answer
    x = 5,886.57

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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.