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Finding the Fourth Proportional to 11,374.94, 15,695.34 and 6,339.04

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Solution

The fourth proportional to 11,374.94, 15,695.34 and 6,339.04 is: 8,746.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,374.94 : 15,695.34 = 6,339.04 : x
  2. Step 2: Convert to fraction form
    11,374.94/15,695.34 = 6,339.04/x
  3. Step 3: Cross multiply
    11,374.94x = 15,695.34 × 6,339.04
  4. Step 4: Simplify right side
    11,374.94x = 99,493,309.60
  5. Step 5: Solve for x
    x = 99,493,309.60/11,374.94
  6. Step 6: Final answer
    x = 8,746.71

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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.