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Finding the Fourth Proportional to 10,862.32, 14,991.60 and 6,883.81

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Solution

The fourth proportional to 10,862.32, 14,991.60 and 6,883.81 is: 9,500.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,862.32 : 14,991.60 = 6,883.81 : x
  2. Step 2: Convert to fraction form
    10,862.32/14,991.60 = 6,883.81/x
  3. Step 3: Cross multiply
    10,862.32x = 14,991.60 × 6,883.81
  4. Step 4: Simplify right side
    10,862.32x = 103,199,326.00
  5. Step 5: Solve for x
    x = 103,199,326.00/10,862.32
  6. Step 6: Final answer
    x = 9,500.67

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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.