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Finding the Fourth Proportional to 6,803.76, 10,206.48 and 2,421.60

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Solution

The fourth proportional to 6,803.76, 10,206.48 and 2,421.60 is: 3,632.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,803.76 : 10,206.48 = 2,421.60 : x
  2. Step 2: Convert to fraction form
    6,803.76/10,206.48 = 2,421.60/x
  3. Step 3: Cross multiply
    6,803.76x = 10,206.48 × 2,421.60
  4. Step 4: Simplify right side
    6,803.76x = 24,716,011.97
  5. Step 5: Solve for x
    x = 24,716,011.97/6,803.76
  6. Step 6: Final answer
    x = 3,632.70

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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.