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Finding the Fourth Proportional to 10,924, 16,386.06 and 2,716

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Solution

The fourth proportional to 10,924, 16,386.06 and 2,716 is: 4,074.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,924 : 16,386.06 = 2,716 : x
  2. Step 2: Convert to fraction form
    10,924/16,386.06 = 2,716/x
  3. Step 3: Cross multiply
    10,924x = 16,386.06 × 2,716
  4. Step 4: Simplify right side
    10,924x = 44,504,538.96
  5. Step 5: Solve for x
    x = 44,504,538.96/10,924
  6. Step 6: Final answer
    x = 4,074.01

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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.