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Finding the Fourth Proportional to 11,620.80, 16,036.52 and 6,315.71

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Solution

The fourth proportional to 11,620.80, 16,036.52 and 6,315.71 is: 8,715.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,620.80 : 16,036.52 = 6,315.71 : x
  2. Step 2: Convert to fraction form
    11,620.80/16,036.52 = 6,315.71/x
  3. Step 3: Cross multiply
    11,620.80x = 16,036.52 × 6,315.71
  4. Step 4: Simplify right side
    11,620.80x = 101,281,897.97
  5. Step 5: Solve for x
    x = 101,281,897.97/11,620.80
  6. Step 6: Final answer
    x = 8,715.57

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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.