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Finding the Fourth Proportional to 10,004.68, 13,807.53 and 5,755.93

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Solution

The fourth proportional to 10,004.68, 13,807.53 and 5,755.93 is: 7,943.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,004.68 : 13,807.53 = 5,755.93 : x
  2. Step 2: Convert to fraction form
    10,004.68/13,807.53 = 5,755.93/x
  3. Step 3: Cross multiply
    10,004.68x = 13,807.53 × 5,755.93
  4. Step 4: Simplify right side
    10,004.68x = 79,475,141.63
  5. Step 5: Solve for x
    x = 79,475,141.63/10,004.68
  6. Step 6: Final answer
    x = 7,943.80

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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.