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Finding the Fourth Proportional to 11,406.32, 17,114.80 and 4,834.08

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Solution

The fourth proportional to 11,406.32, 17,114.80 and 4,834.08 is: 7,253.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,406.32 : 17,114.80 = 4,834.08 : x
  2. Step 2: Convert to fraction form
    11,406.32/17,114.80 = 4,834.08/x
  3. Step 3: Cross multiply
    11,406.32x = 17,114.80 × 4,834.08
  4. Step 4: Simplify right side
    11,406.32x = 82,734,312.38
  5. Step 5: Solve for x
    x = 82,734,312.38/11,406.32
  6. Step 6: Final answer
    x = 7,253.37

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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.