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Finding the Fourth Proportional to 12,782.72, 17,638.80 and 7,192.64

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Solution

The fourth proportional to 12,782.72, 17,638.80 and 7,192.64 is: 9,925.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,782.72 : 17,638.80 = 7,192.64 : x
  2. Step 2: Convert to fraction form
    12,782.72/17,638.80 = 7,192.64/x
  3. Step 3: Cross multiply
    12,782.72x = 17,638.80 × 7,192.64
  4. Step 4: Simplify right side
    12,782.72x = 126,869,538.43
  5. Step 5: Solve for x
    x = 126,869,538.43/12,782.72
  6. Step 6: Final answer
    x = 9,925.08

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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.