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Finding the Fourth Proportional to 7,305.92, 10,964.28 and 4,018.40

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Solution

The fourth proportional to 7,305.92, 10,964.28 and 4,018.40 is: 6,030.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,305.92 : 10,964.28 = 4,018.40 : x
  2. Step 2: Convert to fraction form
    7,305.92/10,964.28 = 4,018.40/x
  3. Step 3: Cross multiply
    7,305.92x = 10,964.28 × 4,018.40
  4. Step 4: Simplify right side
    7,305.92x = 44,058,862.75
  5. Step 5: Solve for x
    x = 44,058,862.75/7,305.92
  6. Step 6: Final answer
    x = 6,030.57

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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.