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Finding the Fourth Proportional to 27,547.85, 41,321.84 and 7,557.63

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Solution

The fourth proportional to 27,547.85, 41,321.84 and 7,557.63 is: 11,336.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,547.85 : 41,321.84 = 7,557.63 : x
  2. Step 2: Convert to fraction form
    27,547.85/41,321.84 = 7,557.63/x
  3. Step 3: Cross multiply
    27,547.85x = 41,321.84 × 7,557.63
  4. Step 4: Simplify right side
    27,547.85x = 312,295,169.85
  5. Step 5: Solve for x
    x = 312,295,169.85/27,547.85
  6. Step 6: Final answer
    x = 11,336.46

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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.