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Finding the Fourth Proportional to 7,507.12, 11,219.12 and 5,536.76

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Solution

The fourth proportional to 7,507.12, 11,219.12 and 5,536.76 is: 8,274.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,507.12 : 11,219.12 = 5,536.76 : x
  2. Step 2: Convert to fraction form
    7,507.12/11,219.12 = 5,536.76/x
  3. Step 3: Cross multiply
    7,507.12x = 11,219.12 × 5,536.76
  4. Step 4: Simplify right side
    7,507.12x = 62,117,574.85
  5. Step 5: Solve for x
    x = 62,117,574.85/7,507.12
  6. Step 6: Final answer
    x = 8,274.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.