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Finding the Fourth Proportional to 11,585.84, 15,988.76 and 7,112.06

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Solution

The fourth proportional to 11,585.84, 15,988.76 and 7,112.06 is: 9,814.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,585.84 : 15,988.76 = 7,112.06 : x
  2. Step 2: Convert to fraction form
    11,585.84/15,988.76 = 7,112.06/x
  3. Step 3: Cross multiply
    11,585.84x = 15,988.76 × 7,112.06
  4. Step 4: Simplify right side
    11,585.84x = 113,713,020.45
  5. Step 5: Solve for x
    x = 113,713,020.45/11,585.84
  6. Step 6: Final answer
    x = 9,814.83

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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.