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Finding the Fourth Proportional to 7,113.96, 10,669.68 and 1,919.16

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Solution

The fourth proportional to 7,113.96, 10,669.68 and 1,919.16 is: 2,878.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,113.96 : 10,669.68 = 1,919.16 : x
  2. Step 2: Convert to fraction form
    7,113.96/10,669.68 = 1,919.16/x
  3. Step 3: Cross multiply
    7,113.96x = 10,669.68 × 1,919.16
  4. Step 4: Simplify right side
    7,113.96x = 20,476,823.07
  5. Step 5: Solve for x
    x = 20,476,823.07/7,113.96
  6. Step 6: Final answer
    x = 2,878.40

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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.