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Finding the Fourth Proportional to 7,856.36, 10,830.93 and 6,268.40

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Solution

The fourth proportional to 7,856.36, 10,830.93 and 6,268.40 is: 8,641.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,856.36 : 10,830.93 = 6,268.40 : x
  2. Step 2: Convert to fraction form
    7,856.36/10,830.93 = 6,268.40/x
  3. Step 3: Cross multiply
    7,856.36x = 10,830.93 × 6,268.40
  4. Step 4: Simplify right side
    7,856.36x = 67,892,601.61
  5. Step 5: Solve for x
    x = 67,892,601.61/7,856.36
  6. Step 6: Final answer
    x = 8,641.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.