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Finding the Fourth Proportional to 10,362.30, 15,537.98 and 4,818.25

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Solution

The fourth proportional to 10,362.30, 15,537.98 and 4,818.25 is: 7,224.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,362.30 : 15,537.98 = 4,818.25 : x
  2. Step 2: Convert to fraction form
    10,362.30/15,537.98 = 4,818.25/x
  3. Step 3: Cross multiply
    10,362.30x = 15,537.98 × 4,818.25
  4. Step 4: Simplify right side
    10,362.30x = 74,865,876.50
  5. Step 5: Solve for x
    x = 74,865,876.50/10,362.30
  6. Step 6: Final answer
    x = 7,224.83

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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.