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Finding the Fourth Proportional to 10,141.55, 13,996.11 and 7,465.02

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Solution

The fourth proportional to 10,141.55, 13,996.11 and 7,465.02 is: 10,302.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,141.55 : 13,996.11 = 7,465.02 : x
  2. Step 2: Convert to fraction form
    10,141.55/13,996.11 = 7,465.02/x
  3. Step 3: Cross multiply
    10,141.55x = 13,996.11 × 7,465.02
  4. Step 4: Simplify right side
    10,141.55x = 104,481,216.58
  5. Step 5: Solve for x
    x = 104,481,216.58/10,141.55
  6. Step 6: Final answer
    x = 10,302.29

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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.