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Finding the Fourth Proportional to 11,585.96, 15,988.74 and 7,112.36

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Solution

The fourth proportional to 11,585.96, 15,988.74 and 7,112.36 is: 9,815.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,585.96 : 15,988.74 = 7,112.36 : x
  2. Step 2: Convert to fraction form
    11,585.96/15,988.74 = 7,112.36/x
  3. Step 3: Cross multiply
    11,585.96x = 15,988.74 × 7,112.36
  4. Step 4: Simplify right side
    11,585.96x = 113,717,674.83
  5. Step 5: Solve for x
    x = 113,717,674.83/11,585.96
  6. Step 6: Final answer
    x = 9,815.13

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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.