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Finding the Fourth Proportional to 10,802.64, 14,911.35 and 6,327.83

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Solution

The fourth proportional to 10,802.64, 14,911.35 and 6,327.83 is: 8,734.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,802.64 : 14,911.35 = 6,327.83 : x
  2. Step 2: Convert to fraction form
    10,802.64/14,911.35 = 6,327.83/x
  3. Step 3: Cross multiply
    10,802.64x = 14,911.35 × 6,327.83
  4. Step 4: Simplify right side
    10,802.64x = 94,356,487.87
  5. Step 5: Solve for x
    x = 94,356,487.87/10,802.64
  6. Step 6: Final answer
    x = 8,734.58

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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.