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Finding the Fourth Proportional to 10,309.64, 15,460.80 and 3,734.12

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Solution

The fourth proportional to 10,309.64, 15,460.80 and 3,734.12 is: 5,599.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,309.64 : 15,460.80 = 3,734.12 : x
  2. Step 2: Convert to fraction form
    10,309.64/15,460.80 = 3,734.12/x
  3. Step 3: Cross multiply
    10,309.64x = 15,460.80 × 3,734.12
  4. Step 4: Simplify right side
    10,309.64x = 57,732,482.50
  5. Step 5: Solve for x
    x = 57,732,482.50/10,309.64
  6. Step 6: Final answer
    x = 5,599.85

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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.