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Finding the Fourth Proportional to 10,539.86, 15,822.52 and 4,922.87

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Solution

The fourth proportional to 10,539.86, 15,822.52 and 4,922.87 is: 7,390.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,539.86 : 15,822.52 = 4,922.87 : x
  2. Step 2: Convert to fraction form
    10,539.86/15,822.52 = 4,922.87/x
  3. Step 3: Cross multiply
    10,539.86x = 15,822.52 × 4,922.87
  4. Step 4: Simplify right side
    10,539.86x = 77,892,209.03
  5. Step 5: Solve for x
    x = 77,892,209.03/10,539.86
  6. Step 6: Final answer
    x = 7,390.25

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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.