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Finding the Fourth Proportional to 7,412.43, 10,228.77 and 4,054.59

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Solution

The fourth proportional to 7,412.43, 10,228.77 and 4,054.59 is: 5,595.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,412.43 : 10,228.77 = 4,054.59 : x
  2. Step 2: Convert to fraction form
    7,412.43/10,228.77 = 4,054.59/x
  3. Step 3: Cross multiply
    7,412.43x = 10,228.77 × 4,054.59
  4. Step 4: Simplify right side
    7,412.43x = 41,473,397.14
  5. Step 5: Solve for x
    x = 41,473,397.14/7,412.43
  6. Step 6: Final answer
    x = 5,595.12

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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.