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Finding the Fourth Proportional to 7,645.84, 10,551.38 and 4,289.40

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Solution

The fourth proportional to 7,645.84, 10,551.38 and 4,289.40 is: 5,919.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,645.84 : 10,551.38 = 4,289.40 : x
  2. Step 2: Convert to fraction form
    7,645.84/10,551.38 = 4,289.40/x
  3. Step 3: Cross multiply
    7,645.84x = 10,551.38 × 4,289.40
  4. Step 4: Simplify right side
    7,645.84x = 45,259,089.37
  5. Step 5: Solve for x
    x = 45,259,089.37/7,645.84
  6. Step 6: Final answer
    x = 5,919.44

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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.