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Finding the Fourth Proportional to 10,635.34, 15,956.28 and 5,444.86

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Solution

The fourth proportional to 10,635.34, 15,956.28 and 5,444.86 is: 8,168.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,635.34 : 15,956.28 = 5,444.86 : x
  2. Step 2: Convert to fraction form
    10,635.34/15,956.28 = 5,444.86/x
  3. Step 3: Cross multiply
    10,635.34x = 15,956.28 × 5,444.86
  4. Step 4: Simplify right side
    10,635.34x = 86,879,710.72
  5. Step 5: Solve for x
    x = 86,879,710.72/10,635.34
  6. Step 6: Final answer
    x = 8,168.96

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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.