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Finding the Fourth Proportional to 10,506.30, 15,766.02 and 4,266.34

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Solution

The fourth proportional to 10,506.30, 15,766.02 and 4,266.34 is: 6,402.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,506.30 : 15,766.02 = 4,266.34 : x
  2. Step 2: Convert to fraction form
    10,506.30/15,766.02 = 4,266.34/x
  3. Step 3: Cross multiply
    10,506.30x = 15,766.02 × 4,266.34
  4. Step 4: Simplify right side
    10,506.30x = 67,263,201.77
  5. Step 5: Solve for x
    x = 67,263,201.77/10,506.30
  6. Step 6: Final answer
    x = 6,402.18

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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.