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Finding the Fourth Proportional to 8,356.56, 12,526.32 and 4,660.40

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Solution

The fourth proportional to 8,356.56, 12,526.32 and 4,660.40 is: 6,985.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,356.56 : 12,526.32 = 4,660.40 : x
  2. Step 2: Convert to fraction form
    8,356.56/12,526.32 = 4,660.40/x
  3. Step 3: Cross multiply
    8,356.56x = 12,526.32 × 4,660.40
  4. Step 4: Simplify right side
    8,356.56x = 58,377,661.73
  5. Step 5: Solve for x
    x = 58,377,661.73/8,356.56
  6. Step 6: Final answer
    x = 6,985.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.