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Finding the Fourth Proportional to 7,536.78, 10,400.94 and 4,552.20

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Solution

The fourth proportional to 7,536.78, 10,400.94 and 4,552.20 is: 6,282.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,536.78 : 10,400.94 = 4,552.20 : x
  2. Step 2: Convert to fraction form
    7,536.78/10,400.94 = 4,552.20/x
  3. Step 3: Cross multiply
    7,536.78x = 10,400.94 × 4,552.20
  4. Step 4: Simplify right side
    7,536.78x = 47,347,159.07
  5. Step 5: Solve for x
    x = 47,347,159.07/7,536.78
  6. Step 6: Final answer
    x = 6,282.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.