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Finding the Fourth Proportional to 7,374.50, 11,035.77 and 4,602.48

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Solution

The fourth proportional to 7,374.50, 11,035.77 and 4,602.48 is: 6,887.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,374.50 : 11,035.77 = 4,602.48 : x
  2. Step 2: Convert to fraction form
    7,374.50/11,035.77 = 4,602.48/x
  3. Step 3: Cross multiply
    7,374.50x = 11,035.77 × 4,602.48
  4. Step 4: Simplify right side
    7,374.50x = 50,791,910.71
  5. Step 5: Solve for x
    x = 50,791,910.71/7,374.50
  6. Step 6: Final answer
    x = 6,887.51

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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.