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Finding the Fourth Proportional to 10,601.70, 15,902.55 and 8,633.40

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Solution

The fourth proportional to 10,601.70, 15,902.55 and 8,633.40 is: 12,950.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,601.70 : 15,902.55 = 8,633.40 : x
  2. Step 2: Convert to fraction form
    10,601.70/15,902.55 = 8,633.40/x
  3. Step 3: Cross multiply
    10,601.70x = 15,902.55 × 8,633.40
  4. Step 4: Simplify right side
    10,601.70x = 137,293,075.17
  5. Step 5: Solve for x
    x = 137,293,075.17/10,601.70
  6. Step 6: Final answer
    x = 12,950.10

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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.