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Finding the Fourth Proportional to 10,718.95, 16,083.91 and 5,102.97

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Solution

The fourth proportional to 10,718.95, 16,083.91 and 5,102.97 is: 7,657.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,718.95 : 16,083.91 = 5,102.97 : x
  2. Step 2: Convert to fraction form
    10,718.95/16,083.91 = 5,102.97/x
  3. Step 3: Cross multiply
    10,718.95x = 16,083.91 × 5,102.97
  4. Step 4: Simplify right side
    10,718.95x = 82,075,686.43
  5. Step 5: Solve for x
    x = 82,075,686.43/10,718.95
  6. Step 6: Final answer
    x = 7,657.06

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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.