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Finding the Fourth Proportional to 10,476.83, 14,453.93 and 5,998.19

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Solution

The fourth proportional to 10,476.83, 14,453.93 and 5,998.19 is: 8,275.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,476.83 : 14,453.93 = 5,998.19 : x
  2. Step 2: Convert to fraction form
    10,476.83/14,453.93 = 5,998.19/x
  3. Step 3: Cross multiply
    10,476.83x = 14,453.93 × 5,998.19
  4. Step 4: Simplify right side
    10,476.83x = 86,697,316.13
  5. Step 5: Solve for x
    x = 86,697,316.13/10,476.83
  6. Step 6: Final answer
    x = 8,275.15

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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.