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Finding the Fourth Proportional to 10,699.44, 14,771.16 and 7,344.24

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Solution

The fourth proportional to 10,699.44, 14,771.16 and 7,344.24 is: 10,139.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,699.44 : 14,771.16 = 7,344.24 : x
  2. Step 2: Convert to fraction form
    10,699.44/14,771.16 = 7,344.24/x
  3. Step 3: Cross multiply
    10,699.44x = 14,771.16 × 7,344.24
  4. Step 4: Simplify right side
    10,699.44x = 108,482,944.12
  5. Step 5: Solve for x
    x = 108,482,944.12/10,699.44
  6. Step 6: Final answer
    x = 10,139.12

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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.