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Finding the Fourth Proportional to 7,667.60, 10,576.01 and 7,410.47

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Solution

The fourth proportional to 7,667.60, 10,576.01 and 7,410.47 is: 10,221.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,667.60 : 10,576.01 = 7,410.47 : x
  2. Step 2: Convert to fraction form
    7,667.60/10,576.01 = 7,410.47/x
  3. Step 3: Cross multiply
    7,667.60x = 10,576.01 × 7,410.47
  4. Step 4: Simplify right side
    7,667.60x = 78,373,167.77
  5. Step 5: Solve for x
    x = 78,373,167.77/7,667.60
  6. Step 6: Final answer
    x = 10,221.34

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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.