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Finding the Fourth Proportional to 7,072.58, 10,609.59 and 2,454.50

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Solution

The fourth proportional to 7,072.58, 10,609.59 and 2,454.50 is: 3,682.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,072.58 : 10,609.59 = 2,454.50 : x
  2. Step 2: Convert to fraction form
    7,072.58/10,609.59 = 2,454.50/x
  3. Step 3: Cross multiply
    7,072.58x = 10,609.59 × 2,454.50
  4. Step 4: Simplify right side
    7,072.58x = 26,041,238.66
  5. Step 5: Solve for x
    x = 26,041,238.66/7,072.58
  6. Step 6: Final answer
    x = 3,682.00

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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.