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Finding the Fourth Proportional to 7,407.87, 10,219.89 and 4,718.37

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Solution

The fourth proportional to 7,407.87, 10,219.89 and 4,718.37 is: 6,509.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,407.87 : 10,219.89 = 4,718.37 : x
  2. Step 2: Convert to fraction form
    7,407.87/10,219.89 = 4,718.37/x
  3. Step 3: Cross multiply
    7,407.87x = 10,219.89 × 4,718.37
  4. Step 4: Simplify right side
    7,407.87x = 48,221,222.38
  5. Step 5: Solve for x
    x = 48,221,222.38/7,407.87
  6. Step 6: Final answer
    x = 6,509.46

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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.