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Finding the Fourth Proportional to 28,586.34, 42,880.66 and 7,809.78

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Solution

The fourth proportional to 28,586.34, 42,880.66 and 7,809.78 is: 11,714.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,586.34 : 42,880.66 = 7,809.78 : x
  2. Step 2: Convert to fraction form
    28,586.34/42,880.66 = 7,809.78/x
  3. Step 3: Cross multiply
    28,586.34x = 42,880.66 × 7,809.78
  4. Step 4: Simplify right side
    28,586.34x = 334,888,520.85
  5. Step 5: Solve for x
    x = 334,888,520.85/28,586.34
  6. Step 6: Final answer
    x = 11,714.98

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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.