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Finding the Fourth Proportional to 10,008.09, 13,812.93 and 5,975.19

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Solution

The fourth proportional to 10,008.09, 13,812.93 and 5,975.19 is: 8,246.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,008.09 : 13,812.93 = 5,975.19 : x
  2. Step 2: Convert to fraction form
    10,008.09/13,812.93 = 5,975.19/x
  3. Step 3: Cross multiply
    10,008.09x = 13,812.93 × 5,975.19
  4. Step 4: Simplify right side
    10,008.09x = 82,534,881.21
  5. Step 5: Solve for x
    x = 82,534,881.21/10,008.09
  6. Step 6: Final answer
    x = 8,246.82

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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.