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Finding the Fourth Proportional to 7,264.92, 10,006.49 and 5,583.10

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Solution

The fourth proportional to 7,264.92, 10,006.49 and 5,583.10 is: 7,690.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,264.92 : 10,006.49 = 5,583.10 : x
  2. Step 2: Convert to fraction form
    7,264.92/10,006.49 = 5,583.10/x
  3. Step 3: Cross multiply
    7,264.92x = 10,006.49 × 5,583.10
  4. Step 4: Simplify right side
    7,264.92x = 55,867,231.42
  5. Step 5: Solve for x
    x = 55,867,231.42/7,264.92
  6. Step 6: Final answer
    x = 7,690.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.