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Finding the Fourth Proportional to 7,575.62, 10,455.03 and 4,219.18

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Solution

The fourth proportional to 7,575.62, 10,455.03 and 4,219.18 is: 5,822.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,575.62 : 10,455.03 = 4,219.18 : x
  2. Step 2: Convert to fraction form
    7,575.62/10,455.03 = 4,219.18/x
  3. Step 3: Cross multiply
    7,575.62x = 10,455.03 × 4,219.18
  4. Step 4: Simplify right side
    7,575.62x = 44,111,627.34
  5. Step 5: Solve for x
    x = 44,111,627.34/7,575.62
  6. Step 6: Final answer
    x = 5,822.84

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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.