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Finding the Fourth Proportional to 6,165.49, 8,515.25 and 5,698.93

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Solution

The fourth proportional to 6,165.49, 8,515.25 and 5,698.93 is: 7,870.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,165.49 : 8,515.25 = 5,698.93 : x
  2. Step 2: Convert to fraction form
    6,165.49/8,515.25 = 5,698.93/x
  3. Step 3: Cross multiply
    6,165.49x = 8,515.25 × 5,698.93
  4. Step 4: Simplify right side
    6,165.49x = 48,527,785.19
  5. Step 5: Solve for x
    x = 48,527,785.19/6,165.49
  6. Step 6: Final answer
    x = 7,870.87

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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.