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Finding the Fourth Proportional to 11,793.76, 16,275.22 and 6,416.28

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Solution

The fourth proportional to 11,793.76, 16,275.22 and 6,416.28 is: 8,854.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,793.76 : 16,275.22 = 6,416.28 : x
  2. Step 2: Convert to fraction form
    11,793.76/16,275.22 = 6,416.28/x
  3. Step 3: Cross multiply
    11,793.76x = 16,275.22 × 6,416.28
  4. Step 4: Simplify right side
    11,793.76x = 104,426,368.58
  5. Step 5: Solve for x
    x = 104,426,368.58/11,793.76
  6. Step 6: Final answer
    x = 8,854.37

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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.