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Finding the Fourth Proportional to 10,643.50, 14,688 and 5,927.78

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Solution

The fourth proportional to 10,643.50, 14,688 and 5,927.78 is: 8,180.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,643.50 : 14,688 = 5,927.78 : x
  2. Step 2: Convert to fraction form
    10,643.50/14,688 = 5,927.78/x
  3. Step 3: Cross multiply
    10,643.50x = 14,688 × 5,927.78
  4. Step 4: Simplify right side
    10,643.50x = 87,067,269.36
  5. Step 5: Solve for x
    x = 87,067,269.36/10,643.50
  6. Step 6: Final answer
    x = 8,180.32

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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.