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Finding the Fourth Proportional to 28,362.86, 42,544.28 and 7,585.82

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Solution

The fourth proportional to 28,362.86, 42,544.28 and 7,585.82 is: 11,378.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,362.86 : 42,544.28 = 7,585.82 : x
  2. Step 2: Convert to fraction form
    28,362.86/42,544.28 = 7,585.82/x
  3. Step 3: Cross multiply
    28,362.86x = 42,544.28 × 7,585.82
  4. Step 4: Simplify right side
    28,362.86x = 322,733,250.11
  5. Step 5: Solve for x
    x = 322,733,250.11/28,362.86
  6. Step 6: Final answer
    x = 11,378.73

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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.