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Finding the Fourth Proportional to 7,164.04, 10,746.50 and 2,234.40

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Solution

The fourth proportional to 7,164.04, 10,746.50 and 2,234.40 is: 3,351.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,164.04 : 10,746.50 = 2,234.40 : x
  2. Step 2: Convert to fraction form
    7,164.04/10,746.50 = 2,234.40/x
  3. Step 3: Cross multiply
    7,164.04x = 10,746.50 × 2,234.40
  4. Step 4: Simplify right side
    7,164.04x = 24,011,979.60
  5. Step 5: Solve for x
    x = 24,011,979.60/7,164.04
  6. Step 6: Final answer
    x = 3,351.74

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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.