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Finding the Fourth Proportional to 10,259.34, 14,163.03 and 7,985.67

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Solution

The fourth proportional to 10,259.34, 14,163.03 and 7,985.67 is: 11,024.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,259.34 : 14,163.03 = 7,985.67 : x
  2. Step 2: Convert to fraction form
    10,259.34/14,163.03 = 7,985.67/x
  3. Step 3: Cross multiply
    10,259.34x = 14,163.03 × 7,985.67
  4. Step 4: Simplify right side
    10,259.34x = 113,101,283.78
  5. Step 5: Solve for x
    x = 113,101,283.78/10,259.34
  6. Step 6: Final answer
    x = 11,024.23

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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.