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Finding the Fourth Proportional to 7,124.14, 10,685.80 and 1,930.02

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Solution

The fourth proportional to 7,124.14, 10,685.80 and 1,930.02 is: 2,894.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,124.14 : 10,685.80 = 1,930.02 : x
  2. Step 2: Convert to fraction form
    7,124.14/10,685.80 = 1,930.02/x
  3. Step 3: Cross multiply
    7,124.14x = 10,685.80 × 1,930.02
  4. Step 4: Simplify right side
    7,124.14x = 20,623,807.72
  5. Step 5: Solve for x
    x = 20,623,807.72/7,124.14
  6. Step 6: Final answer
    x = 2,894.92

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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.