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Finding the Fourth Proportional to 10,239.17, 14,130.11 and 5,762.99

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Solution

The fourth proportional to 10,239.17, 14,130.11 and 5,762.99 is: 7,952.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,239.17 : 14,130.11 = 5,762.99 : x
  2. Step 2: Convert to fraction form
    10,239.17/14,130.11 = 5,762.99/x
  3. Step 3: Cross multiply
    10,239.17x = 14,130.11 × 5,762.99
  4. Step 4: Simplify right side
    10,239.17x = 81,431,682.63
  5. Step 5: Solve for x
    x = 81,431,682.63/10,239.17
  6. Step 6: Final answer
    x = 7,952.96

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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.