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Finding the Fourth Proportional to 7,119.86, 10,680 and 1,925.78

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Solution

The fourth proportional to 7,119.86, 10,680 and 1,925.78 is: 2,888.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,119.86 : 10,680 = 1,925.78 : x
  2. Step 2: Convert to fraction form
    7,119.86/10,680 = 1,925.78/x
  3. Step 3: Cross multiply
    7,119.86x = 10,680 × 1,925.78
  4. Step 4: Simplify right side
    7,119.86x = 20,567,330.40
  5. Step 5: Solve for x
    x = 20,567,330.40/7,119.86
  6. Step 6: Final answer
    x = 2,888.73

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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.