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Finding the Fourth Proportional to 6,534.72, 9,015.84 and 4,052.16

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Solution

The fourth proportional to 6,534.72, 9,015.84 and 4,052.16 is: 5,590.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,534.72 : 9,015.84 = 4,052.16 : x
  2. Step 2: Convert to fraction form
    6,534.72/9,015.84 = 4,052.16/x
  3. Step 3: Cross multiply
    6,534.72x = 9,015.84 × 4,052.16
  4. Step 4: Simplify right side
    6,534.72x = 36,533,626.21
  5. Step 5: Solve for x
    x = 36,533,626.21/6,534.72
  6. Step 6: Final answer
    x = 5,590.69

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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.