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Finding the Fourth Proportional to 11,642.54, 16,061.52 and 8,948.95

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Solution

The fourth proportional to 11,642.54, 16,061.52 and 8,948.95 is: 12,345.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,642.54 : 16,061.52 = 8,948.95 : x
  2. Step 2: Convert to fraction form
    11,642.54/16,061.52 = 8,948.95/x
  3. Step 3: Cross multiply
    11,642.54x = 16,061.52 × 8,948.95
  4. Step 4: Simplify right side
    11,642.54x = 143,733,732.81
  5. Step 5: Solve for x
    x = 143,733,732.81/11,642.54
  6. Step 6: Final answer
    x = 12,345.57

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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.