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Finding the Fourth Proportional to 7,802.12, 10,767.16 and 4,265.52

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Solution

The fourth proportional to 7,802.12, 10,767.16 and 4,265.52 is: 5,886.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,802.12 : 10,767.16 = 4,265.52 : x
  2. Step 2: Convert to fraction form
    7,802.12/10,767.16 = 4,265.52/x
  3. Step 3: Cross multiply
    7,802.12x = 10,767.16 × 4,265.52
  4. Step 4: Simplify right side
    7,802.12x = 45,927,536.32
  5. Step 5: Solve for x
    x = 45,927,536.32/7,802.12
  6. Step 6: Final answer
    x = 5,886.55

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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.