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Finding the Fourth Proportional to 28,138.14, 42,207.69 and 7,360.86

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Solution

The fourth proportional to 28,138.14, 42,207.69 and 7,360.86 is: 11,041.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,138.14 : 42,207.69 = 7,360.86 : x
  2. Step 2: Convert to fraction form
    28,138.14/42,207.69 = 7,360.86/x
  3. Step 3: Cross multiply
    28,138.14x = 42,207.69 × 7,360.86
  4. Step 4: Simplify right side
    28,138.14x = 310,684,897.01
  5. Step 5: Solve for x
    x = 310,684,897.01/28,138.14
  6. Step 6: Final answer
    x = 11,041.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.