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Finding the Fourth Proportional to 7,259.52, 10,020.27 and 4,742.03

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Solution

The fourth proportional to 7,259.52, 10,020.27 and 4,742.03 is: 6,545.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,259.52 : 10,020.27 = 4,742.03 : x
  2. Step 2: Convert to fraction form
    7,259.52/10,020.27 = 4,742.03/x
  3. Step 3: Cross multiply
    7,259.52x = 10,020.27 × 4,742.03
  4. Step 4: Simplify right side
    7,259.52x = 47,516,370.85
  5. Step 5: Solve for x
    x = 47,516,370.85/7,259.52
  6. Step 6: Final answer
    x = 6,545.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.