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Finding the Fourth Proportional to 10,242.18, 14,131.14 and 6,259.12

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Solution

The fourth proportional to 10,242.18, 14,131.14 and 6,259.12 is: 8,635.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,242.18 : 14,131.14 = 6,259.12 : x
  2. Step 2: Convert to fraction form
    10,242.18/14,131.14 = 6,259.12/x
  3. Step 3: Cross multiply
    10,242.18x = 14,131.14 × 6,259.12
  4. Step 4: Simplify right side
    10,242.18x = 88,448,501.00
  5. Step 5: Solve for x
    x = 88,448,501.00/10,242.18
  6. Step 6: Final answer
    x = 8,635.71

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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.