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Finding the Fourth Proportional to 7,451.84, 11,176.54 and 2,256.50

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Solution

The fourth proportional to 7,451.84, 11,176.54 and 2,256.50 is: 3,384.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,451.84 : 11,176.54 = 2,256.50 : x
  2. Step 2: Convert to fraction form
    7,451.84/11,176.54 = 2,256.50/x
  3. Step 3: Cross multiply
    7,451.84x = 11,176.54 × 2,256.50
  4. Step 4: Simplify right side
    7,451.84x = 25,219,862.51
  5. Step 5: Solve for x
    x = 25,219,862.51/7,451.84
  6. Step 6: Final answer
    x = 3,384.38

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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.