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Finding the Fourth Proportional to 27,377.81, 41,068.28 and 7,656.33

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Solution

The fourth proportional to 27,377.81, 41,068.28 and 7,656.33 is: 11,484.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,377.81 : 41,068.28 = 7,656.33 : x
  2. Step 2: Convert to fraction form
    27,377.81/41,068.28 = 7,656.33/x
  3. Step 3: Cross multiply
    27,377.81x = 41,068.28 × 7,656.33
  4. Step 4: Simplify right side
    27,377.81x = 314,432,265.93
  5. Step 5: Solve for x
    x = 314,432,265.93/27,377.81
  6. Step 6: Final answer
    x = 11,484.93

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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.