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Finding the Fourth Proportional to 10,892.01, 16,339.73 and 4,652.06

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Solution

The fourth proportional to 10,892.01, 16,339.73 and 4,652.06 is: 6,978.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,892.01 : 16,339.73 = 4,652.06 : x
  2. Step 2: Convert to fraction form
    10,892.01/16,339.73 = 4,652.06/x
  3. Step 3: Cross multiply
    10,892.01x = 16,339.73 × 4,652.06
  4. Step 4: Simplify right side
    10,892.01x = 76,013,417.46
  5. Step 5: Solve for x
    x = 76,013,417.46/10,892.01
  6. Step 6: Final answer
    x = 6,978.82

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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.