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Finding the Fourth Proportional to 10,259.84, 14,163.72 and 7,986.17

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Solution

The fourth proportional to 10,259.84, 14,163.72 and 7,986.17 is: 11,024.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,259.84 : 14,163.72 = 7,986.17 : x
  2. Step 2: Convert to fraction form
    10,259.84/14,163.72 = 7,986.17/x
  3. Step 3: Cross multiply
    10,259.84x = 14,163.72 × 7,986.17
  4. Step 4: Simplify right side
    10,259.84x = 113,113,875.75
  5. Step 5: Solve for x
    x = 113,113,875.75/10,259.84
  6. Step 6: Final answer
    x = 11,024.92

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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.