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Finding the Fourth Proportional to 10,461.89, 14,438.18 and 6,483.78

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Solution

The fourth proportional to 10,461.89, 14,438.18 and 6,483.78 is: 8,948.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,461.89 : 14,438.18 = 6,483.78 : x
  2. Step 2: Convert to fraction form
    10,461.89/14,438.18 = 6,483.78/x
  3. Step 3: Cross multiply
    10,461.89x = 14,438.18 × 6,483.78
  4. Step 4: Simplify right side
    10,461.89x = 93,613,982.72
  5. Step 5: Solve for x
    x = 93,613,982.72/10,461.89
  6. Step 6: Final answer
    x = 8,948.09

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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.