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Finding the Fourth Proportional to 10,806.45, 14,878.97 and 9,188.18

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Solution

The fourth proportional to 10,806.45, 14,878.97 and 9,188.18 is: 12,650.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,806.45 : 14,878.97 = 9,188.18 : x
  2. Step 2: Convert to fraction form
    10,806.45/14,878.97 = 9,188.18/x
  3. Step 3: Cross multiply
    10,806.45x = 14,878.97 × 9,188.18
  4. Step 4: Simplify right side
    10,806.45x = 136,710,654.57
  5. Step 5: Solve for x
    x = 136,710,654.57/10,806.45
  6. Step 6: Final answer
    x = 12,650.84

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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.