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Finding the Fourth Proportional to 7,297.63, 10,067.53 and 4,465.14

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Solution

The fourth proportional to 7,297.63, 10,067.53 and 4,465.14 is: 6,159.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,297.63 : 10,067.53 = 4,465.14 : x
  2. Step 2: Convert to fraction form
    7,297.63/10,067.53 = 4,465.14/x
  3. Step 3: Cross multiply
    7,297.63x = 10,067.53 × 4,465.14
  4. Step 4: Simplify right side
    7,297.63x = 44,952,930.90
  5. Step 5: Solve for x
    x = 44,952,930.90/7,297.63
  6. Step 6: Final answer
    x = 6,159.94

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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.