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Finding the Fourth Proportional to 12,137.22, 16,737.48 and 7,886.70

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Solution

The fourth proportional to 12,137.22, 16,737.48 and 7,886.70 is: 10,875.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,137.22 : 16,737.48 = 7,886.70 : x
  2. Step 2: Convert to fraction form
    12,137.22/16,737.48 = 7,886.70/x
  3. Step 3: Cross multiply
    12,137.22x = 16,737.48 × 7,886.70
  4. Step 4: Simplify right side
    12,137.22x = 132,003,483.52
  5. Step 5: Solve for x
    x = 132,003,483.52/12,137.22
  6. Step 6: Final answer
    x = 10,875.92

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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.