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Finding the Fourth Proportional to 6,809.81, 10,221.53 and 4,722.57

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Solution

The fourth proportional to 6,809.81, 10,221.53 and 4,722.57 is: 7,088.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,809.81 : 10,221.53 = 4,722.57 : x
  2. Step 2: Convert to fraction form
    6,809.81/10,221.53 = 4,722.57/x
  3. Step 3: Cross multiply
    6,809.81x = 10,221.53 × 4,722.57
  4. Step 4: Simplify right side
    6,809.81x = 48,271,867.32
  5. Step 5: Solve for x
    x = 48,271,867.32/6,809.81
  6. Step 6: Final answer
    x = 7,088.58

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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.