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Finding the Fourth Proportional to 11,585.52, 15,981.48 and 7,107.66

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Solution

The fourth proportional to 11,585.52, 15,981.48 and 7,107.66 is: 9,804.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,585.52 : 15,981.48 = 7,107.66 : x
  2. Step 2: Convert to fraction form
    11,585.52/15,981.48 = 7,107.66/x
  3. Step 3: Cross multiply
    11,585.52x = 15,981.48 × 7,107.66
  4. Step 4: Simplify right side
    11,585.52x = 113,590,926.14
  5. Step 5: Solve for x
    x = 113,590,926.14/11,585.52
  6. Step 6: Final answer
    x = 9,804.56

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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.