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Finding the Fourth Proportional to 10,563.90, 15,845.85 and 6,416.70

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Solution

The fourth proportional to 10,563.90, 15,845.85 and 6,416.70 is: 9,625.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,563.90 : 15,845.85 = 6,416.70 : x
  2. Step 2: Convert to fraction form
    10,563.90/15,845.85 = 6,416.70/x
  3. Step 3: Cross multiply
    10,563.90x = 15,845.85 × 6,416.70
  4. Step 4: Simplify right side
    10,563.90x = 101,678,065.70
  5. Step 5: Solve for x
    x = 101,678,065.70/10,563.90
  6. Step 6: Final answer
    x = 9,625.05

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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.