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Finding the Fourth Proportional to 10,633.76, 14,656.05 and 7,795.11

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Solution

The fourth proportional to 10,633.76, 14,656.05 and 7,795.11 is: 10,743.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,633.76 : 14,656.05 = 7,795.11 : x
  2. Step 2: Convert to fraction form
    10,633.76/14,656.05 = 7,795.11/x
  3. Step 3: Cross multiply
    10,633.76x = 14,656.05 × 7,795.11
  4. Step 4: Simplify right side
    10,633.76x = 114,245,466.96
  5. Step 5: Solve for x
    x = 114,245,466.96/10,633.76
  6. Step 6: Final answer
    x = 10,743.65

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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.