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Finding the Fourth Proportional to 7,575.84, 11,365.28 and 2,644.16

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Solution

The fourth proportional to 7,575.84, 11,365.28 and 2,644.16 is: 3,966.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,575.84 : 11,365.28 = 2,644.16 : x
  2. Step 2: Convert to fraction form
    7,575.84/11,365.28 = 2,644.16/x
  3. Step 3: Cross multiply
    7,575.84x = 11,365.28 × 2,644.16
  4. Step 4: Simplify right side
    7,575.84x = 30,051,618.76
  5. Step 5: Solve for x
    x = 30,051,618.76/7,575.84
  6. Step 6: Final answer
    x = 3,966.77

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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.