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Finding the Fourth Proportional to 10,953.49, 16,444.36 and 9,403.46

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Solution

The fourth proportional to 10,953.49, 16,444.36 and 9,403.46 is: 14,117.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,953.49 : 16,444.36 = 9,403.46 : x
  2. Step 2: Convert to fraction form
    10,953.49/16,444.36 = 9,403.46/x
  3. Step 3: Cross multiply
    10,953.49x = 16,444.36 × 9,403.46
  4. Step 4: Simplify right side
    10,953.49x = 154,633,811.02
  5. Step 5: Solve for x
    x = 154,633,811.02/10,953.49
  6. Step 6: Final answer
    x = 14,117.31

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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.