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Finding the Fourth Proportional to 8,158.50, 11,258.73 and 4,846.50

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Solution

The fourth proportional to 8,158.50, 11,258.73 and 4,846.50 is: 6,688.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,158.50 : 11,258.73 = 4,846.50 : x
  2. Step 2: Convert to fraction form
    8,158.50/11,258.73 = 4,846.50/x
  3. Step 3: Cross multiply
    8,158.50x = 11,258.73 × 4,846.50
  4. Step 4: Simplify right side
    8,158.50x = 54,565,434.95
  5. Step 5: Solve for x
    x = 54,565,434.95/8,158.50
  6. Step 6: Final answer
    x = 6,688.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.