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Finding the Fourth Proportional to 10,386.83, 14,334.63 and 5,910.77

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Solution

The fourth proportional to 10,386.83, 14,334.63 and 5,910.77 is: 8,157.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,386.83 : 14,334.63 = 5,910.77 : x
  2. Step 2: Convert to fraction form
    10,386.83/14,334.63 = 5,910.77/x
  3. Step 3: Cross multiply
    10,386.83x = 14,334.63 × 5,910.77
  4. Step 4: Simplify right side
    10,386.83x = 84,728,629.29
  5. Step 5: Solve for x
    x = 84,728,629.29/10,386.83
  6. Step 6: Final answer
    x = 8,157.32

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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.