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Finding the Fourth Proportional to 7,517.64, 11,275.80 and 2,323

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Solution

The fourth proportional to 7,517.64, 11,275.80 and 2,323 is: 3,484.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,517.64 : 11,275.80 = 2,323 : x
  2. Step 2: Convert to fraction form
    7,517.64/11,275.80 = 2,323/x
  3. Step 3: Cross multiply
    7,517.64x = 11,275.80 × 2,323
  4. Step 4: Simplify right side
    7,517.64x = 26,193,683.40
  5. Step 5: Solve for x
    x = 26,193,683.40/7,517.64
  6. Step 6: Final answer
    x = 3,484.30

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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.