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Finding the Fourth Proportional to 6,862.46, 10,293.28 and 1,931.99

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Solution

The fourth proportional to 6,862.46, 10,293.28 and 1,931.99 is: 2,897.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,862.46 : 10,293.28 = 1,931.99 : x
  2. Step 2: Convert to fraction form
    6,862.46/10,293.28 = 1,931.99/x
  3. Step 3: Cross multiply
    6,862.46x = 10,293.28 × 1,931.99
  4. Step 4: Simplify right side
    6,862.46x = 19,886,457.73
  5. Step 5: Solve for x
    x = 19,886,457.73/6,862.46
  6. Step 6: Final answer
    x = 2,897.86

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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.