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Finding the Fourth Proportional to 10,837.67, 14,955.93 and 5,869.67

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Solution

The fourth proportional to 10,837.67, 14,955.93 and 5,869.67 is: 8,100.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,837.67 : 14,955.93 = 5,869.67 : x
  2. Step 2: Convert to fraction form
    10,837.67/14,955.93 = 5,869.67/x
  3. Step 3: Cross multiply
    10,837.67x = 14,955.93 × 5,869.67
  4. Step 4: Simplify right side
    10,837.67x = 87,786,373.64
  5. Step 5: Solve for x
    x = 87,786,373.64/10,837.67
  6. Step 6: Final answer
    x = 8,100.12

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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.