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Finding the Fourth Proportional to 10,082.79, 15,124.65 and 3,509.49

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Solution

The fourth proportional to 10,082.79, 15,124.65 and 3,509.49 is: 5,264.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,082.79 : 15,124.65 = 3,509.49 : x
  2. Step 2: Convert to fraction form
    10,082.79/15,124.65 = 3,509.49/x
  3. Step 3: Cross multiply
    10,082.79x = 15,124.65 × 3,509.49
  4. Step 4: Simplify right side
    10,082.79x = 53,079,807.93
  5. Step 5: Solve for x
    x = 53,079,807.93/10,082.79
  6. Step 6: Final answer
    x = 5,264.40

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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.