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Finding the Fourth Proportional to 7,631.16, 10,535.76 and 5,859.24

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Solution

The fourth proportional to 7,631.16, 10,535.76 and 5,859.24 is: 8,089.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,631.16 : 10,535.76 = 5,859.24 : x
  2. Step 2: Convert to fraction form
    7,631.16/10,535.76 = 5,859.24/x
  3. Step 3: Cross multiply
    7,631.16x = 10,535.76 × 5,859.24
  4. Step 4: Simplify right side
    7,631.16x = 61,731,546.42
  5. Step 5: Solve for x
    x = 61,731,546.42/7,631.16
  6. Step 6: Final answer
    x = 8,089.41

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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.