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Finding the Fourth Proportional to 10,285.44, 15,421.67 and 8,726

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Solution

The fourth proportional to 10,285.44, 15,421.67 and 8,726 is: 13,083.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,285.44 : 15,421.67 = 8,726 : x
  2. Step 2: Convert to fraction form
    10,285.44/15,421.67 = 8,726/x
  3. Step 3: Cross multiply
    10,285.44x = 15,421.67 × 8,726
  4. Step 4: Simplify right side
    10,285.44x = 134,569,492.42
  5. Step 5: Solve for x
    x = 134,569,492.42/10,285.44
  6. Step 6: Final answer
    x = 13,083.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.