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Finding the Fourth Proportional to 10,232.68, 14,111.14 and 7,869.80

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Solution

The fourth proportional to 10,232.68, 14,111.14 and 7,869.80 is: 10,852.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,232.68 : 14,111.14 = 7,869.80 : x
  2. Step 2: Convert to fraction form
    10,232.68/14,111.14 = 7,869.80/x
  3. Step 3: Cross multiply
    10,232.68x = 14,111.14 × 7,869.80
  4. Step 4: Simplify right side
    10,232.68x = 111,051,849.57
  5. Step 5: Solve for x
    x = 111,051,849.57/10,232.68
  6. Step 6: Final answer
    x = 10,852.67

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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.