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Finding the Fourth Proportional to 10,335.85, 14,263.08 and 5,620.14

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Solution

The fourth proportional to 10,335.85, 14,263.08 and 5,620.14 is: 7,755.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,335.85 : 14,263.08 = 5,620.14 : x
  2. Step 2: Convert to fraction form
    10,335.85/14,263.08 = 5,620.14/x
  3. Step 3: Cross multiply
    10,335.85x = 14,263.08 × 5,620.14
  4. Step 4: Simplify right side
    10,335.85x = 80,160,506.43
  5. Step 5: Solve for x
    x = 80,160,506.43/10,335.85
  6. Step 6: Final answer
    x = 7,755.58

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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.