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Finding the Fourth Proportional to 7,718.40, 10,652.40 and 4,362.30

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Solution

The fourth proportional to 7,718.40, 10,652.40 and 4,362.30 is: 6,020.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,718.40 : 10,652.40 = 4,362.30 : x
  2. Step 2: Convert to fraction form
    7,718.40/10,652.40 = 4,362.30/x
  3. Step 3: Cross multiply
    7,718.40x = 10,652.40 × 4,362.30
  4. Step 4: Simplify right side
    7,718.40x = 46,468,964.52
  5. Step 5: Solve for x
    x = 46,468,964.52/7,718.40
  6. Step 6: Final answer
    x = 6,020.54

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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.