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Finding the Fourth Proportional to 10,563.62, 14,564.55 and 6,780.11

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Solution

The fourth proportional to 10,563.62, 14,564.55 and 6,780.11 is: 9,348.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,563.62 : 14,564.55 = 6,780.11 : x
  2. Step 2: Convert to fraction form
    10,563.62/14,564.55 = 6,780.11/x
  3. Step 3: Cross multiply
    10,563.62x = 14,564.55 × 6,780.11
  4. Step 4: Simplify right side
    10,563.62x = 98,749,178.28
  5. Step 5: Solve for x
    x = 98,749,178.28/10,563.62
  6. Step 6: Final answer
    x = 9,348.05

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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.