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Finding the Fourth Proportional to 7,602.32, 11,385.84 and 7,339.50

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Solution

The fourth proportional to 7,602.32, 11,385.84 and 7,339.50 is: 10,992.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,602.32 : 11,385.84 = 7,339.50 : x
  2. Step 2: Convert to fraction form
    7,602.32/11,385.84 = 7,339.50/x
  3. Step 3: Cross multiply
    7,602.32x = 11,385.84 × 7,339.50
  4. Step 4: Simplify right side
    7,602.32x = 83,566,372.68
  5. Step 5: Solve for x
    x = 83,566,372.68/7,602.32
  6. Step 6: Final answer
    x = 10,992.22

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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.