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Finding the Fourth Proportional to 28,565.06, 42,846.37 and 7,788.56

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Solution

The fourth proportional to 28,565.06, 42,846.37 and 7,788.56 is: 11,682.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,565.06 : 42,846.37 = 7,788.56 : x
  2. Step 2: Convert to fraction form
    28,565.06/42,846.37 = 7,788.56/x
  3. Step 3: Cross multiply
    28,565.06x = 42,846.37 × 7,788.56
  4. Step 4: Simplify right side
    28,565.06x = 333,711,289.82
  5. Step 5: Solve for x
    x = 333,711,289.82/28,565.06
  6. Step 6: Final answer
    x = 11,682.50

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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.