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Finding the Fourth Proportional to 10,007.56, 15,011.34 and 3,082

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Solution

The fourth proportional to 10,007.56, 15,011.34 and 3,082 is: 4,623.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,007.56 : 15,011.34 = 3,082 : x
  2. Step 2: Convert to fraction form
    10,007.56/15,011.34 = 3,082/x
  3. Step 3: Cross multiply
    10,007.56x = 15,011.34 × 3,082
  4. Step 4: Simplify right side
    10,007.56x = 46,264,949.88
  5. Step 5: Solve for x
    x = 46,264,949.88/10,007.56
  6. Step 6: Final answer
    x = 4,623.00

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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.