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Finding the Fourth Proportional to 10,740.40, 16,078.20 and 9,444.40

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Solution

The fourth proportional to 10,740.40, 16,078.20 and 9,444.40 is: 14,138.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,740.40 : 16,078.20 = 9,444.40 : x
  2. Step 2: Convert to fraction form
    10,740.40/16,078.20 = 9,444.40/x
  3. Step 3: Cross multiply
    10,740.40x = 16,078.20 × 9,444.40
  4. Step 4: Simplify right side
    10,740.40x = 151,848,952.08
  5. Step 5: Solve for x
    x = 151,848,952.08/10,740.40
  6. Step 6: Final answer
    x = 14,138.11

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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.