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Finding the Fourth Proportional to 7,110.64, 10,671.20 and 5,740.36

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Solution

The fourth proportional to 7,110.64, 10,671.20 and 5,740.36 is: 8,614.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,110.64 : 10,671.20 = 5,740.36 : x
  2. Step 2: Convert to fraction form
    7,110.64/10,671.20 = 5,740.36/x
  3. Step 3: Cross multiply
    7,110.64x = 10,671.20 × 5,740.36
  4. Step 4: Simplify right side
    7,110.64x = 61,256,529.63
  5. Step 5: Solve for x
    x = 61,256,529.63/7,110.64
  6. Step 6: Final answer
    x = 8,614.77

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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.