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Finding the Fourth Proportional to 11,952.30, 16,501.56 and 7,704.88

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Solution

The fourth proportional to 11,952.30, 16,501.56 and 7,704.88 is: 10,637.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,952.30 : 16,501.56 = 7,704.88 : x
  2. Step 2: Convert to fraction form
    11,952.30/16,501.56 = 7,704.88/x
  3. Step 3: Cross multiply
    11,952.30x = 16,501.56 × 7,704.88
  4. Step 4: Simplify right side
    11,952.30x = 127,142,539.61
  5. Step 5: Solve for x
    x = 127,142,539.61/11,952.30
  6. Step 6: Final answer
    x = 10,637.50

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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.