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Finding the Fourth Proportional to 7,504.68, 11,256.24 and 2,310

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Solution

The fourth proportional to 7,504.68, 11,256.24 and 2,310 is: 3,464.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,504.68 : 11,256.24 = 2,310 : x
  2. Step 2: Convert to fraction form
    7,504.68/11,256.24 = 2,310/x
  3. Step 3: Cross multiply
    7,504.68x = 11,256.24 × 2,310
  4. Step 4: Simplify right side
    7,504.68x = 26,001,914.40
  5. Step 5: Solve for x
    x = 26,001,914.40/7,504.68
  6. Step 6: Final answer
    x = 3,464.76

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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.