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Finding the Fourth Proportional to 11,451.30, 15,803.60 and 6,416

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Solution

The fourth proportional to 11,451.30, 15,803.60 and 6,416 is: 8,854.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,451.30 : 15,803.60 = 6,416 : x
  2. Step 2: Convert to fraction form
    11,451.30/15,803.60 = 6,416/x
  3. Step 3: Cross multiply
    11,451.30x = 15,803.60 × 6,416
  4. Step 4: Simplify right side
    11,451.30x = 101,395,897.60
  5. Step 5: Solve for x
    x = 101,395,897.60/11,451.30
  6. Step 6: Final answer
    x = 8,854.53

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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.