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Finding the Fourth Proportional to 11,321.57, 15,624.27 and 6,285.86

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Solution

The fourth proportional to 11,321.57, 15,624.27 and 6,285.86 is: 8,674.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,321.57 : 15,624.27 = 6,285.86 : x
  2. Step 2: Convert to fraction form
    11,321.57/15,624.27 = 6,285.86/x
  3. Step 3: Cross multiply
    11,321.57x = 15,624.27 × 6,285.86
  4. Step 4: Simplify right side
    11,321.57x = 98,211,973.82
  5. Step 5: Solve for x
    x = 98,211,973.82/11,321.57
  6. Step 6: Final answer
    x = 8,674.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.