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Finding the Fourth Proportional to 10,393.75, 15,590.63 and 4,156.57

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Solution

The fourth proportional to 10,393.75, 15,590.63 and 4,156.57 is: 6,234.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,393.75 : 15,590.63 = 4,156.57 : x
  2. Step 2: Convert to fraction form
    10,393.75/15,590.63 = 4,156.57/x
  3. Step 3: Cross multiply
    10,393.75x = 15,590.63 × 4,156.57
  4. Step 4: Simplify right side
    10,393.75x = 64,803,544.94
  5. Step 5: Solve for x
    x = 64,803,544.94/10,393.75
  6. Step 6: Final answer
    x = 6,234.86

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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.