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Finding the Fourth Proportional to 6,741.12, 9,299.52 and 5,808

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Solution

The fourth proportional to 6,741.12, 9,299.52 and 5,808 is: 8,012.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,741.12 : 9,299.52 = 5,808 : x
  2. Step 2: Convert to fraction form
    6,741.12/9,299.52 = 5,808/x
  3. Step 3: Cross multiply
    6,741.12x = 9,299.52 × 5,808
  4. Step 4: Simplify right side
    6,741.12x = 54,011,612.16
  5. Step 5: Solve for x
    x = 54,011,612.16/6,741.12
  6. Step 6: Final answer
    x = 8,012.26

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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.