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Finding the Fourth Proportional to 7,511.64, 11,264.76 and 2,580

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Solution

The fourth proportional to 7,511.64, 11,264.76 and 2,580 is: 3,869.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,511.64 : 11,264.76 = 2,580 : x
  2. Step 2: Convert to fraction form
    7,511.64/11,264.76 = 2,580/x
  3. Step 3: Cross multiply
    7,511.64x = 11,264.76 × 2,580
  4. Step 4: Simplify right side
    7,511.64x = 29,063,080.80
  5. Step 5: Solve for x
    x = 29,063,080.80/7,511.64
  6. Step 6: Final answer
    x = 3,869.07

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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.