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Finding the Fourth Proportional to 10,260.60, 14,159.73 and 5,783.96

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Solution

The fourth proportional to 10,260.60, 14,159.73 and 5,783.96 is: 7,981.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,260.60 : 14,159.73 = 5,783.96 : x
  2. Step 2: Convert to fraction form
    10,260.60/14,159.73 = 5,783.96/x
  3. Step 3: Cross multiply
    10,260.60x = 14,159.73 × 5,783.96
  4. Step 4: Simplify right side
    10,260.60x = 81,899,241.13
  5. Step 5: Solve for x
    x = 81,899,241.13/10,260.60
  6. Step 6: Final answer
    x = 7,981.92

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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.