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Finding the Fourth Proportional to 10,774.95, 16,161.52 and 4,534.71

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Solution

The fourth proportional to 10,774.95, 16,161.52 and 4,534.71 is: 6,801.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,774.95 : 16,161.52 = 4,534.71 : x
  2. Step 2: Convert to fraction form
    10,774.95/16,161.52 = 4,534.71/x
  3. Step 3: Cross multiply
    10,774.95x = 16,161.52 × 4,534.71
  4. Step 4: Simplify right side
    10,774.95x = 73,287,806.36
  5. Step 5: Solve for x
    x = 73,287,806.36/10,774.95
  6. Step 6: Final answer
    x = 6,801.68

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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.