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Finding the Fourth Proportional to 11,492.96, 15,859.31 and 6,456.79

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Solution

The fourth proportional to 11,492.96, 15,859.31 and 6,456.79 is: 8,909.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,492.96 : 15,859.31 = 6,456.79 : x
  2. Step 2: Convert to fraction form
    11,492.96/15,859.31 = 6,456.79/x
  3. Step 3: Cross multiply
    11,492.96x = 15,859.31 × 6,456.79
  4. Step 4: Simplify right side
    11,492.96x = 102,400,210.71
  5. Step 5: Solve for x
    x = 102,400,210.71/11,492.96
  6. Step 6: Final answer
    x = 8,909.82

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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.