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Finding the Fourth Proportional to 7,641.64, 11,467.50 and 2,711.20

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Solution

The fourth proportional to 7,641.64, 11,467.50 and 2,711.20 is: 4,068.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,641.64 : 11,467.50 = 2,711.20 : x
  2. Step 2: Convert to fraction form
    7,641.64/11,467.50 = 2,711.20/x
  3. Step 3: Cross multiply
    7,641.64x = 11,467.50 × 2,711.20
  4. Step 4: Simplify right side
    7,641.64x = 31,090,686.00
  5. Step 5: Solve for x
    x = 31,090,686.00/7,641.64
  6. Step 6: Final answer
    x = 4,068.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.