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Finding the Fourth Proportional to 7,067.02, 10,588.05 and 4,288.05

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Solution

The fourth proportional to 7,067.02, 10,588.05 and 4,288.05 is: 6,424.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,067.02 : 10,588.05 = 4,288.05 : x
  2. Step 2: Convert to fraction form
    7,067.02/10,588.05 = 4,288.05/x
  3. Step 3: Cross multiply
    7,067.02x = 10,588.05 × 4,288.05
  4. Step 4: Simplify right side
    7,067.02x = 45,402,058.02
  5. Step 5: Solve for x
    x = 45,402,058.02/7,067.02
  6. Step 6: Final answer
    x = 6,424.50

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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.