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Finding the Fourth Proportional to 11,637.95, 16,056.41 and 7,663.10

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Solution

The fourth proportional to 11,637.95, 16,056.41 and 7,663.10 is: 10,572.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,637.95 : 16,056.41 = 7,663.10 : x
  2. Step 2: Convert to fraction form
    11,637.95/16,056.41 = 7,663.10/x
  3. Step 3: Cross multiply
    11,637.95x = 16,056.41 × 7,663.10
  4. Step 4: Simplify right side
    11,637.95x = 123,041,756.87
  5. Step 5: Solve for x
    x = 123,041,756.87/11,637.95
  6. Step 6: Final answer
    x = 10,572.46

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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.