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Finding the Fourth Proportional to 11,355.76, 15,671.70 and 6,319.92

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Solution

The fourth proportional to 11,355.76, 15,671.70 and 6,319.92 is: 8,721.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,355.76 : 15,671.70 = 6,319.92 : x
  2. Step 2: Convert to fraction form
    11,355.76/15,671.70 = 6,319.92/x
  3. Step 3: Cross multiply
    11,355.76x = 15,671.70 × 6,319.92
  4. Step 4: Simplify right side
    11,355.76x = 99,043,858.66
  5. Step 5: Solve for x
    x = 99,043,858.66/11,355.76
  6. Step 6: Final answer
    x = 8,721.91

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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.