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Finding the Fourth Proportional to 8,197.53, 11,312.49 and 4,660.02

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Solution

The fourth proportional to 8,197.53, 11,312.49 and 4,660.02 is: 6,430.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,197.53 : 11,312.49 = 4,660.02 : x
  2. Step 2: Convert to fraction form
    8,197.53/11,312.49 = 4,660.02/x
  3. Step 3: Cross multiply
    8,197.53x = 11,312.49 × 4,660.02
  4. Step 4: Simplify right side
    8,197.53x = 52,716,429.65
  5. Step 5: Solve for x
    x = 52,716,429.65/8,197.53
  6. Step 6: Final answer
    x = 6,430.77

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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.