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Finding the Fourth Proportional to 7,814.12, 11,729.28 and 5,235.08

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Solution

The fourth proportional to 7,814.12, 11,729.28 and 5,235.08 is: 7,858.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,814.12 : 11,729.28 = 5,235.08 : x
  2. Step 2: Convert to fraction form
    7,814.12/11,729.28 = 5,235.08/x
  3. Step 3: Cross multiply
    7,814.12x = 11,729.28 × 5,235.08
  4. Step 4: Simplify right side
    7,814.12x = 61,403,719.14
  5. Step 5: Solve for x
    x = 61,403,719.14/7,814.12
  6. Step 6: Final answer
    x = 7,858.05

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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.