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Finding the Fourth Proportional to 10,506.25, 15,748.74 and 6,810.83

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Solution

The fourth proportional to 10,506.25, 15,748.74 and 6,810.83 is: 10,209.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,506.25 : 15,748.74 = 6,810.83 : x
  2. Step 2: Convert to fraction form
    10,506.25/15,748.74 = 6,810.83/x
  3. Step 3: Cross multiply
    10,506.25x = 15,748.74 × 6,810.83
  4. Step 4: Simplify right side
    10,506.25x = 107,261,912.11
  5. Step 5: Solve for x
    x = 107,261,912.11/10,506.25
  6. Step 6: Final answer
    x = 10,209.35

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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.