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Finding the Fourth Proportional to 10,838.96, 14,952.40 and 8,444.66

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Solution

The fourth proportional to 10,838.96, 14,952.40 and 8,444.66 is: 11,649.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,838.96 : 14,952.40 = 8,444.66 : x
  2. Step 2: Convert to fraction form
    10,838.96/14,952.40 = 8,444.66/x
  3. Step 3: Cross multiply
    10,838.96x = 14,952.40 × 8,444.66
  4. Step 4: Simplify right side
    10,838.96x = 126,267,838.31
  5. Step 5: Solve for x
    x = 126,267,838.31/10,838.96
  6. Step 6: Final answer
    x = 11,649.44

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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.