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Finding the Fourth Proportional to 27,476.47, 41,216.15 and 7,756.57

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Solution

The fourth proportional to 27,476.47, 41,216.15 and 7,756.57 is: 11,635.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,476.47 : 41,216.15 = 7,756.57 : x
  2. Step 2: Convert to fraction form
    27,476.47/41,216.15 = 7,756.57/x
  3. Step 3: Cross multiply
    27,476.47x = 41,216.15 × 7,756.57
  4. Step 4: Simplify right side
    27,476.47x = 319,695,952.61
  5. Step 5: Solve for x
    x = 319,695,952.61/27,476.47
  6. Step 6: Final answer
    x = 11,635.26

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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.