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Finding the Fourth Proportional to 6,510.12, 9,752.16 and 3,911.64

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Solution

The fourth proportional to 6,510.12, 9,752.16 and 3,911.64 is: 5,859.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,510.12 : 9,752.16 = 3,911.64 : x
  2. Step 2: Convert to fraction form
    6,510.12/9,752.16 = 3,911.64/x
  3. Step 3: Cross multiply
    6,510.12x = 9,752.16 × 3,911.64
  4. Step 4: Simplify right side
    6,510.12x = 38,146,939.14
  5. Step 5: Solve for x
    x = 38,146,939.14/6,510.12
  6. Step 6: Final answer
    x = 5,859.64

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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.