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Finding the Fourth Proportional to 7,063.85, 10,594 and 2,905.02

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Solution

The fourth proportional to 7,063.85, 10,594 and 2,905.02 is: 4,356.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,063.85 : 10,594 = 2,905.02 : x
  2. Step 2: Convert to fraction form
    7,063.85/10,594 = 2,905.02/x
  3. Step 3: Cross multiply
    7,063.85x = 10,594 × 2,905.02
  4. Step 4: Simplify right side
    7,063.85x = 30,775,781.88
  5. Step 5: Solve for x
    x = 30,775,781.88/7,063.85
  6. Step 6: Final answer
    x = 4,356.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.