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Finding the Fourth Proportional to 10,883.96, 16,320.52 and 4,643

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Solution

The fourth proportional to 10,883.96, 16,320.52 and 4,643 is: 6,962.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,883.96 : 16,320.52 = 4,643 : x
  2. Step 2: Convert to fraction form
    10,883.96/16,320.52 = 4,643/x
  3. Step 3: Cross multiply
    10,883.96x = 16,320.52 × 4,643
  4. Step 4: Simplify right side
    10,883.96x = 75,776,174.36
  5. Step 5: Solve for x
    x = 75,776,174.36/10,883.96
  6. Step 6: Final answer
    x = 6,962.19

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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.