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Finding the Fourth Proportional to 7,411.48, 10,169.42 and 7,341.82

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Solution

The fourth proportional to 7,411.48, 10,169.42 and 7,341.82 is: 10,073.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,411.48 : 10,169.42 = 7,341.82 : x
  2. Step 2: Convert to fraction form
    7,411.48/10,169.42 = 7,341.82/x
  3. Step 3: Cross multiply
    7,411.48x = 10,169.42 × 7,341.82
  4. Step 4: Simplify right side
    7,411.48x = 74,662,051.14
  5. Step 5: Solve for x
    x = 74,662,051.14/7,411.48
  6. Step 6: Final answer
    x = 10,073.84

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.