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Finding the Fourth Proportional to 7,552.64, 11,328 and 2,357.76

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Solution

The fourth proportional to 7,552.64, 11,328 and 2,357.76 is: 3,536.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,552.64 : 11,328 = 2,357.76 : x
  2. Step 2: Convert to fraction form
    7,552.64/11,328 = 2,357.76/x
  3. Step 3: Cross multiply
    7,552.64x = 11,328 × 2,357.76
  4. Step 4: Simplify right side
    7,552.64x = 26,708,705.28
  5. Step 5: Solve for x
    x = 26,708,705.28/7,552.64
  6. Step 6: Final answer
    x = 3,536.34

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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.