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Finding the Fourth Proportional to 10,643.79, 14,688.28 and 5,863.63

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Solution

The fourth proportional to 10,643.79, 14,688.28 and 5,863.63 is: 8,091.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,643.79 : 14,688.28 = 5,863.63 : x
  2. Step 2: Convert to fraction form
    10,643.79/14,688.28 = 5,863.63/x
  3. Step 3: Cross multiply
    10,643.79x = 14,688.28 × 5,863.63
  4. Step 4: Simplify right side
    10,643.79x = 86,126,639.26
  5. Step 5: Solve for x
    x = 86,126,639.26/10,643.79
  6. Step 6: Final answer
    x = 8,091.73

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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.