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Finding the Fourth Proportional to 7,575.30, 11,365.19 and 3,416.58

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Solution

The fourth proportional to 7,575.30, 11,365.19 and 3,416.58 is: 5,125.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,575.30 : 11,365.19 = 3,416.58 : x
  2. Step 2: Convert to fraction form
    7,575.30/11,365.19 = 3,416.58/x
  3. Step 3: Cross multiply
    7,575.30x = 11,365.19 × 3,416.58
  4. Step 4: Simplify right side
    7,575.30x = 38,830,080.85
  5. Step 5: Solve for x
    x = 38,830,080.85/7,575.30
  6. Step 6: Final answer
    x = 5,125.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.