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Finding the Fourth Proportional to 10,699.85, 14,770.96 and 7,120.76

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Solution

The fourth proportional to 10,699.85, 14,770.96 and 7,120.76 is: 9,830.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,699.85 : 14,770.96 = 7,120.76 : x
  2. Step 2: Convert to fraction form
    10,699.85/14,770.96 = 7,120.76/x
  3. Step 3: Cross multiply
    10,699.85x = 14,770.96 × 7,120.76
  4. Step 4: Simplify right side
    10,699.85x = 105,180,452.56
  5. Step 5: Solve for x
    x = 105,180,452.56/10,699.85
  6. Step 6: Final answer
    x = 9,830.09

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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.