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Finding the Fourth Proportional to 10,421.47, 15,648.41 and 8,454.79

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Solution

The fourth proportional to 10,421.47, 15,648.41 and 8,454.79 is: 12,695.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,421.47 : 15,648.41 = 8,454.79 : x
  2. Step 2: Convert to fraction form
    10,421.47/15,648.41 = 8,454.79/x
  3. Step 3: Cross multiply
    10,421.47x = 15,648.41 × 8,454.79
  4. Step 4: Simplify right side
    10,421.47x = 132,303,978.11
  5. Step 5: Solve for x
    x = 132,303,978.11/10,421.47
  6. Step 6: Final answer
    x = 12,695.33

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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.