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Finding the Fourth Proportional to 7,113.14, 10,669.91 and 1,919

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Solution

The fourth proportional to 7,113.14, 10,669.91 and 1,919 is: 2,878.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,113.14 : 10,669.91 = 1,919 : x
  2. Step 2: Convert to fraction form
    7,113.14/10,669.91 = 1,919/x
  3. Step 3: Cross multiply
    7,113.14x = 10,669.91 × 1,919
  4. Step 4: Simplify right side
    7,113.14x = 20,475,547.70
  5. Step 5: Solve for x
    x = 20,475,547.70/7,113.14
  6. Step 6: Final answer
    x = 2,878.55

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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.