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Finding the Fourth Proportional to 10,699.42, 14,765.88 and 5,984.05

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Solution

The fourth proportional to 10,699.42, 14,765.88 and 5,984.05 is: 8,258.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,699.42 : 14,765.88 = 5,984.05 : x
  2. Step 2: Convert to fraction form
    10,699.42/14,765.88 = 5,984.05/x
  3. Step 3: Cross multiply
    10,699.42x = 14,765.88 × 5,984.05
  4. Step 4: Simplify right side
    10,699.42x = 88,359,764.21
  5. Step 5: Solve for x
    x = 88,359,764.21/10,699.42
  6. Step 6: Final answer
    x = 8,258.37

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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.