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Finding the Fourth Proportional to 10,563.80, 15,840.90 and 4,717.40

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Solution

The fourth proportional to 10,563.80, 15,840.90 and 4,717.40 is: 7,073.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,563.80 : 15,840.90 = 4,717.40 : x
  2. Step 2: Convert to fraction form
    10,563.80/15,840.90 = 4,717.40/x
  3. Step 3: Cross multiply
    10,563.80x = 15,840.90 × 4,717.40
  4. Step 4: Simplify right side
    10,563.80x = 74,727,861.66
  5. Step 5: Solve for x
    x = 74,727,861.66/10,563.80
  6. Step 6: Final answer
    x = 7,073.96

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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.