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Finding the Fourth Proportional to 10,914.32, 16,367.16 and 4,754

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Solution

The fourth proportional to 10,914.32, 16,367.16 and 4,754 is: 7,129.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,914.32 : 16,367.16 = 4,754 : x
  2. Step 2: Convert to fraction form
    10,914.32/16,367.16 = 4,754/x
  3. Step 3: Cross multiply
    10,914.32x = 16,367.16 × 4,754
  4. Step 4: Simplify right side
    10,914.32x = 77,809,478.64
  5. Step 5: Solve for x
    x = 77,809,478.64/10,914.32
  6. Step 6: Final answer
    x = 7,129.12

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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.