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Finding the Fourth Proportional to 11,018.74, 15,206.13 and 6,542.53

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Solution

The fourth proportional to 11,018.74, 15,206.13 and 6,542.53 is: 9,028.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,018.74 : 15,206.13 = 6,542.53 : x
  2. Step 2: Convert to fraction form
    11,018.74/15,206.13 = 6,542.53/x
  3. Step 3: Cross multiply
    11,018.74x = 15,206.13 × 6,542.53
  4. Step 4: Simplify right side
    11,018.74x = 99,486,561.71
  5. Step 5: Solve for x
    x = 99,486,561.71/11,018.74
  6. Step 6: Final answer
    x = 9,028.85

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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.