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Finding the Fourth Proportional to 7,444.40, 10,262.04 and 4,645.04

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Solution

The fourth proportional to 7,444.40, 10,262.04 and 4,645.04 is: 6,403.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,444.40 : 10,262.04 = 4,645.04 : x
  2. Step 2: Convert to fraction form
    7,444.40/10,262.04 = 4,645.04/x
  3. Step 3: Cross multiply
    7,444.40x = 10,262.04 × 4,645.04
  4. Step 4: Simplify right side
    7,444.40x = 47,667,586.28
  5. Step 5: Solve for x
    x = 47,667,586.28/7,444.40
  6. Step 6: Final answer
    x = 6,403.15

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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.