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Finding the Fourth Proportional to 10,405.53, 14,360.90 and 6,876.09

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Solution

The fourth proportional to 10,405.53, 14,360.90 and 6,876.09 is: 9,489.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,405.53 : 14,360.90 = 6,876.09 : x
  2. Step 2: Convert to fraction form
    10,405.53/14,360.90 = 6,876.09/x
  3. Step 3: Cross multiply
    10,405.53x = 14,360.90 × 6,876.09
  4. Step 4: Simplify right side
    10,405.53x = 98,746,806.50
  5. Step 5: Solve for x
    x = 98,746,806.50/10,405.53
  6. Step 6: Final answer
    x = 9,489.84

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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.