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Finding the Fourth Proportional to 12,138.09, 16,758.62 and 7,607.58

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Solution

The fourth proportional to 12,138.09, 16,758.62 and 7,607.58 is: 10,503.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,138.09 : 16,758.62 = 7,607.58 : x
  2. Step 2: Convert to fraction form
    12,138.09/16,758.62 = 7,607.58/x
  3. Step 3: Cross multiply
    12,138.09x = 16,758.62 × 7,607.58
  4. Step 4: Simplify right side
    12,138.09x = 127,492,542.34
  5. Step 5: Solve for x
    x = 127,492,542.34/12,138.09
  6. Step 6: Final answer
    x = 10,503.51

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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.