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Finding the Fourth Proportional to 10,047.95, 15,076.03 and 3,478.76

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Solution

The fourth proportional to 10,047.95, 15,076.03 and 3,478.76 is: 5,219.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,047.95 : 15,076.03 = 3,478.76 : x
  2. Step 2: Convert to fraction form
    10,047.95/15,076.03 = 3,478.76/x
  3. Step 3: Cross multiply
    10,047.95x = 15,076.03 × 3,478.76
  4. Step 4: Simplify right side
    10,047.95x = 52,445,890.12
  5. Step 5: Solve for x
    x = 52,445,890.12/10,047.95
  6. Step 6: Final answer
    x = 5,219.56

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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.