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Finding the Fourth Proportional to 8,315.40, 11,471.24 and 4,957.16

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Solution

The fourth proportional to 8,315.40, 11,471.24 and 4,957.16 is: 6,838.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,315.40 : 11,471.24 = 4,957.16 : x
  2. Step 2: Convert to fraction form
    8,315.40/11,471.24 = 4,957.16/x
  3. Step 3: Cross multiply
    8,315.40x = 11,471.24 × 4,957.16
  4. Step 4: Simplify right side
    8,315.40x = 56,864,772.08
  5. Step 5: Solve for x
    x = 56,864,772.08/8,315.40
  6. Step 6: Final answer
    x = 6,838.49

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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.