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Finding the Fourth Proportional to 7,803.06, 10,766.70 and 4,660.26

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Solution

The fourth proportional to 7,803.06, 10,766.70 and 4,660.26 is: 6,430.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,803.06 : 10,766.70 = 4,660.26 : x
  2. Step 2: Convert to fraction form
    7,803.06/10,766.70 = 4,660.26/x
  3. Step 3: Cross multiply
    7,803.06x = 10,766.70 × 4,660.26
  4. Step 4: Simplify right side
    7,803.06x = 50,175,621.34
  5. Step 5: Solve for x
    x = 50,175,621.34/7,803.06
  6. Step 6: Final answer
    x = 6,430.25

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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.