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Finding the Fourth Proportional to 11,349.40, 15,667.68 and 7,574.80

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Solution

The fourth proportional to 11,349.40, 15,667.68 and 7,574.80 is: 10,456.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,349.40 : 15,667.68 = 7,574.80 : x
  2. Step 2: Convert to fraction form
    11,349.40/15,667.68 = 7,574.80/x
  3. Step 3: Cross multiply
    11,349.40x = 15,667.68 × 7,574.80
  4. Step 4: Simplify right side
    11,349.40x = 118,679,542.46
  5. Step 5: Solve for x
    x = 118,679,542.46/11,349.40
  6. Step 6: Final answer
    x = 10,456.90

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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.