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Finding the Fourth Proportional to 10,328.58, 15,500.16 and 5,940

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Solution

The fourth proportional to 10,328.58, 15,500.16 and 5,940 is: 8,914.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,328.58 : 15,500.16 = 5,940 : x
  2. Step 2: Convert to fraction form
    10,328.58/15,500.16 = 5,940/x
  3. Step 3: Cross multiply
    10,328.58x = 15,500.16 × 5,940
  4. Step 4: Simplify right side
    10,328.58x = 92,070,950.40
  5. Step 5: Solve for x
    x = 92,070,950.40/10,328.58
  6. Step 6: Final answer
    x = 8,914.19

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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.