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Finding the Fourth Proportional to 7,064.83, 10,597.29 and 2,134.45

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Solution

The fourth proportional to 7,064.83, 10,597.29 and 2,134.45 is: 3,201.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,064.83 : 10,597.29 = 2,134.45 : x
  2. Step 2: Convert to fraction form
    7,064.83/10,597.29 = 2,134.45/x
  3. Step 3: Cross multiply
    7,064.83x = 10,597.29 × 2,134.45
  4. Step 4: Simplify right side
    7,064.83x = 22,619,385.64
  5. Step 5: Solve for x
    x = 22,619,385.64/7,064.83
  6. Step 6: Final answer
    x = 3,201.69

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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.