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Finding the Fourth Proportional to 7,768.52, 11,637.52 and 5,127.98

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Solution

The fourth proportional to 7,768.52, 11,637.52 and 5,127.98 is: 7,681.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,768.52 : 11,637.52 = 5,127.98 : x
  2. Step 2: Convert to fraction form
    7,768.52/11,637.52 = 5,127.98/x
  3. Step 3: Cross multiply
    7,768.52x = 11,637.52 × 5,127.98
  4. Step 4: Simplify right side
    7,768.52x = 59,676,969.81
  5. Step 5: Solve for x
    x = 59,676,969.81/7,768.52
  6. Step 6: Final answer
    x = 7,681.90

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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.