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Finding the Fourth Proportional to 7,065.85, 10,598.86 and 2,135.53

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Solution

The fourth proportional to 7,065.85, 10,598.86 and 2,135.53 is: 3,203.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,065.85 : 10,598.86 = 2,135.53 : x
  2. Step 2: Convert to fraction form
    7,065.85/10,598.86 = 2,135.53/x
  3. Step 3: Cross multiply
    7,065.85x = 10,598.86 × 2,135.53
  4. Step 4: Simplify right side
    7,065.85x = 22,634,183.50
  5. Step 5: Solve for x
    x = 22,634,183.50/7,065.85
  6. Step 6: Final answer
    x = 3,203.32

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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.