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Finding the Fourth Proportional to 7,417.96, 10,236.09 and 4,433.20

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Solution

The fourth proportional to 7,417.96, 10,236.09 and 4,433.20 is: 6,117.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,417.96 : 10,236.09 = 4,433.20 : x
  2. Step 2: Convert to fraction form
    7,417.96/10,236.09 = 4,433.20/x
  3. Step 3: Cross multiply
    7,417.96x = 10,236.09 × 4,433.20
  4. Step 4: Simplify right side
    7,417.96x = 45,378,634.19
  5. Step 5: Solve for x
    x = 45,378,634.19/7,417.96
  6. Step 6: Final answer
    x = 6,117.40

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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.