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Finding the Fourth Proportional to 7,403.46, 10,216.08 and 4,418.70

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Solution

The fourth proportional to 7,403.46, 10,216.08 and 4,418.70 is: 6,097.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,403.46 : 10,216.08 = 4,418.70 : x
  2. Step 2: Convert to fraction form
    7,403.46/10,216.08 = 4,418.70/x
  3. Step 3: Cross multiply
    7,403.46x = 10,216.08 × 4,418.70
  4. Step 4: Simplify right side
    7,403.46x = 45,141,792.70
  5. Step 5: Solve for x
    x = 45,141,792.70/7,403.46
  6. Step 6: Final answer
    x = 6,097.39

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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.