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Finding the Fourth Proportional to 10,078.15, 13,903.97 and 6,492.84

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Solution

The fourth proportional to 10,078.15, 13,903.97 and 6,492.84 is: 8,957.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,078.15 : 13,903.97 = 6,492.84 : x
  2. Step 2: Convert to fraction form
    10,078.15/13,903.97 = 6,492.84/x
  3. Step 3: Cross multiply
    10,078.15x = 13,903.97 × 6,492.84
  4. Step 4: Simplify right side
    10,078.15x = 90,276,252.57
  5. Step 5: Solve for x
    x = 90,276,252.57/10,078.15
  6. Step 6: Final answer
    x = 8,957.62

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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.