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Finding the Fourth Proportional to 7,575.16, 11,354.76 and 2,892.16

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Solution

The fourth proportional to 7,575.16, 11,354.76 and 2,892.16 is: 4,335.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,575.16 : 11,354.76 = 2,892.16 : x
  2. Step 2: Convert to fraction form
    7,575.16/11,354.76 = 2,892.16/x
  3. Step 3: Cross multiply
    7,575.16x = 11,354.76 × 2,892.16
  4. Step 4: Simplify right side
    7,575.16x = 32,839,782.68
  5. Step 5: Solve for x
    x = 32,839,782.68/7,575.16
  6. Step 6: Final answer
    x = 4,335.19

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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.