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Finding the Fourth Proportional to 12,029.52, 16,601.59 and 7,837.77

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Solution

The fourth proportional to 12,029.52, 16,601.59 and 7,837.77 is: 10,816.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,029.52 : 16,601.59 = 7,837.77 : x
  2. Step 2: Convert to fraction form
    12,029.52/16,601.59 = 7,837.77/x
  3. Step 3: Cross multiply
    12,029.52x = 16,601.59 × 7,837.77
  4. Step 4: Simplify right side
    12,029.52x = 130,119,424.46
  5. Step 5: Solve for x
    x = 130,119,424.46/12,029.52
  6. Step 6: Final answer
    x = 10,816.68

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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.