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Finding the Fourth Proportional to 7,575.66, 10,454.67 and 4,218.35

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Solution

The fourth proportional to 7,575.66, 10,454.67 and 4,218.35 is: 5,821.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,575.66 : 10,454.67 = 4,218.35 : x
  2. Step 2: Convert to fraction form
    7,575.66/10,454.67 = 4,218.35/x
  3. Step 3: Cross multiply
    7,575.66x = 10,454.67 × 4,218.35
  4. Step 4: Simplify right side
    7,575.66x = 44,101,404.92
  5. Step 5: Solve for x
    x = 44,101,404.92/7,575.66
  6. Step 6: Final answer
    x = 5,821.46

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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.