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Finding the Fourth Proportional to 10,637.64, 15,962.94 and 4,794.84

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Solution

The fourth proportional to 10,637.64, 15,962.94 and 4,794.84 is: 7,195.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,637.64 : 15,962.94 = 4,794.84 : x
  2. Step 2: Convert to fraction form
    10,637.64/15,962.94 = 4,794.84/x
  3. Step 3: Cross multiply
    10,637.64x = 15,962.94 × 4,794.84
  4. Step 4: Simplify right side
    10,637.64x = 76,539,743.23
  5. Step 5: Solve for x
    x = 76,539,743.23/10,637.64
  6. Step 6: Final answer
    x = 7,195.18

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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.