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Finding the Fourth Proportional to 11,643.12, 16,062.76 and 7,165.52

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Solution

The fourth proportional to 11,643.12, 16,062.76 and 7,165.52 is: 9,885.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,643.12 : 16,062.76 = 7,165.52 : x
  2. Step 2: Convert to fraction form
    11,643.12/16,062.76 = 7,165.52/x
  3. Step 3: Cross multiply
    11,643.12x = 16,062.76 × 7,165.52
  4. Step 4: Simplify right side
    11,643.12x = 115,098,028.04
  5. Step 5: Solve for x
    x = 115,098,028.04/11,643.12
  6. Step 6: Final answer
    x = 9,885.50

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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.