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Finding the Fourth Proportional to 10,428.63, 15,642.54 and 3,854.67

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Solution

The fourth proportional to 10,428.63, 15,642.54 and 3,854.67 is: 5,781.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,428.63 : 15,642.54 = 3,854.67 : x
  2. Step 2: Convert to fraction form
    10,428.63/15,642.54 = 3,854.67/x
  3. Step 3: Cross multiply
    10,428.63x = 15,642.54 × 3,854.67
  4. Step 4: Simplify right side
    10,428.63x = 60,296,829.66
  5. Step 5: Solve for x
    x = 60,296,829.66/10,428.63
  6. Step 6: Final answer
    x = 5,781.86

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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.