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Finding the Fourth Proportional to 10,842.37, 16,258.95 and 3,444.85

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Solution

The fourth proportional to 10,842.37, 16,258.95 and 3,444.85 is: 5,165.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,842.37 : 16,258.95 = 3,444.85 : x
  2. Step 2: Convert to fraction form
    10,842.37/16,258.95 = 3,444.85/x
  3. Step 3: Cross multiply
    10,842.37x = 16,258.95 × 3,444.85
  4. Step 4: Simplify right side
    10,842.37x = 56,009,643.91
  5. Step 5: Solve for x
    x = 56,009,643.91/10,842.37
  6. Step 6: Final answer
    x = 5,165.81

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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.