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Finding the Fourth Proportional to 7,624.40, 11,437.44 and 2,429.08

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Solution

The fourth proportional to 7,624.40, 11,437.44 and 2,429.08 is: 3,643.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,624.40 : 11,437.44 = 2,429.08 : x
  2. Step 2: Convert to fraction form
    7,624.40/11,437.44 = 2,429.08/x
  3. Step 3: Cross multiply
    7,624.40x = 11,437.44 × 2,429.08
  4. Step 4: Simplify right side
    7,624.40x = 27,782,456.76
  5. Step 5: Solve for x
    x = 27,782,456.76/7,624.40
  6. Step 6: Final answer
    x = 3,643.89

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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.