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Finding the Fourth Proportional to 4,663.31, 6,994.69 and 1,153.13

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Solution

The fourth proportional to 4,663.31, 6,994.69 and 1,153.13 is: 1,729.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,663.31 : 6,994.69 = 1,153.13 : x
  2. Step 2: Convert to fraction form
    4,663.31/6,994.69 = 1,153.13/x
  3. Step 3: Cross multiply
    4,663.31x = 6,994.69 × 1,153.13
  4. Step 4: Simplify right side
    4,663.31x = 8,065,749.02
  5. Step 5: Solve for x
    x = 8,065,749.02/4,663.31
  6. Step 6: Final answer
    x = 1,729.62

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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.