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Finding the Fourth Proportional to 10,331.60, 14,257.44 and 5,616

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Solution

The fourth proportional to 10,331.60, 14,257.44 and 5,616 is: 7,749.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,331.60 : 14,257.44 = 5,616 : x
  2. Step 2: Convert to fraction form
    10,331.60/14,257.44 = 5,616/x
  3. Step 3: Cross multiply
    10,331.60x = 14,257.44 × 5,616
  4. Step 4: Simplify right side
    10,331.60x = 80,069,783.04
  5. Step 5: Solve for x
    x = 80,069,783.04/10,331.60
  6. Step 6: Final answer
    x = 7,749.99

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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.