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Finding the Fourth Proportional to 10,935.54, 16,384.41 and 8,610.39

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Solution

The fourth proportional to 10,935.54, 16,384.41 and 8,610.39 is: 12,900.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,935.54 : 16,384.41 = 8,610.39 : x
  2. Step 2: Convert to fraction form
    10,935.54/16,384.41 = 8,610.39/x
  3. Step 3: Cross multiply
    10,935.54x = 16,384.41 × 8,610.39
  4. Step 4: Simplify right side
    10,935.54x = 141,076,160.02
  5. Step 5: Solve for x
    x = 141,076,160.02/10,935.54
  6. Step 6: Final answer
    x = 12,900.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.