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Finding the Fourth Proportional to 27,112.14, 40,663.59 and 7,386.08

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Solution

The fourth proportional to 27,112.14, 40,663.59 and 7,386.08 is: 11,077.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,112.14 : 40,663.59 = 7,386.08 : x
  2. Step 2: Convert to fraction form
    27,112.14/40,663.59 = 7,386.08/x
  3. Step 3: Cross multiply
    27,112.14x = 40,663.59 × 7,386.08
  4. Step 4: Simplify right side
    27,112.14x = 300,344,325.51
  5. Step 5: Solve for x
    x = 300,344,325.51/27,112.14
  6. Step 6: Final answer
    x = 11,077.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.