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Finding the Fourth Proportional to 11,287.68, 15,577.11 and 6,810.57

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Solution

The fourth proportional to 11,287.68, 15,577.11 and 6,810.57 is: 9,398.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,287.68 : 15,577.11 = 6,810.57 : x
  2. Step 2: Convert to fraction form
    11,287.68/15,577.11 = 6,810.57/x
  3. Step 3: Cross multiply
    11,287.68x = 15,577.11 × 6,810.57
  4. Step 4: Simplify right side
    11,287.68x = 106,088,920.17
  5. Step 5: Solve for x
    x = 106,088,920.17/11,287.68
  6. Step 6: Final answer
    x = 9,398.65

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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.