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Finding the Fourth Proportional to 7,497.42, 10,341.64 and 4,514.19

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Solution

The fourth proportional to 7,497.42, 10,341.64 and 4,514.19 is: 6,226.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,497.42 : 10,341.64 = 4,514.19 : x
  2. Step 2: Convert to fraction form
    7,497.42/10,341.64 = 4,514.19/x
  3. Step 3: Cross multiply
    7,497.42x = 10,341.64 × 4,514.19
  4. Step 4: Simplify right side
    7,497.42x = 46,684,127.87
  5. Step 5: Solve for x
    x = 46,684,127.87/7,497.42
  6. Step 6: Final answer
    x = 6,226.69

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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.