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Finding the Fourth Proportional to 7,803.18, 10,768.41 and 4,659.30

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Solution

The fourth proportional to 7,803.18, 10,768.41 and 4,659.30 is: 6,429.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,803.18 : 10,768.41 = 4,659.30 : x
  2. Step 2: Convert to fraction form
    7,803.18/10,768.41 = 4,659.30/x
  3. Step 3: Cross multiply
    7,803.18x = 10,768.41 × 4,659.30
  4. Step 4: Simplify right side
    7,803.18x = 50,173,252.71
  5. Step 5: Solve for x
    x = 50,173,252.71/7,803.18
  6. Step 6: Final answer
    x = 6,429.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.