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Finding the Fourth Proportional to 10,727.58, 14,804.01 and 6,535.83

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Solution

The fourth proportional to 10,727.58, 14,804.01 and 6,535.83 is: 9,019.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,727.58 : 14,804.01 = 6,535.83 : x
  2. Step 2: Convert to fraction form
    10,727.58/14,804.01 = 6,535.83/x
  3. Step 3: Cross multiply
    10,727.58x = 14,804.01 × 6,535.83
  4. Step 4: Simplify right side
    10,727.58x = 96,756,492.68
  5. Step 5: Solve for x
    x = 96,756,492.68/10,727.58
  6. Step 6: Final answer
    x = 9,019.41

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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.