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Finding the Fourth Proportional to 10,618.83, 14,635.93 and 7,255.81

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Solution

The fourth proportional to 10,618.83, 14,635.93 and 7,255.81 is: 10,000.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,618.83 : 14,635.93 = 7,255.81 : x
  2. Step 2: Convert to fraction form
    10,618.83/14,635.93 = 7,255.81/x
  3. Step 3: Cross multiply
    10,618.83x = 14,635.93 × 7,255.81
  4. Step 4: Simplify right side
    10,618.83x = 106,195,499.94
  5. Step 5: Solve for x
    x = 106,195,499.94/10,618.83
  6. Step 6: Final answer
    x = 10,000.67

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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.