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Finding the Fourth Proportional to 11,460.74, 15,822.96 and 8,802.86

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Solution

The fourth proportional to 11,460.74, 15,822.96 and 8,802.86 is: 12,153.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,460.74 : 15,822.96 = 8,802.86 : x
  2. Step 2: Convert to fraction form
    11,460.74/15,822.96 = 8,802.86/x
  3. Step 3: Cross multiply
    11,460.74x = 15,822.96 × 8,802.86
  4. Step 4: Simplify right side
    11,460.74x = 139,287,301.67
  5. Step 5: Solve for x
    x = 139,287,301.67/11,460.74
  6. Step 6: Final answer
    x = 12,153.43

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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.