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Finding the Fourth Proportional to 10,511.60, 14,505.34 and 5,795.87

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Solution

The fourth proportional to 10,511.60, 14,505.34 and 5,795.87 is: 7,997.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,511.60 : 14,505.34 = 5,795.87 : x
  2. Step 2: Convert to fraction form
    10,511.60/14,505.34 = 5,795.87/x
  3. Step 3: Cross multiply
    10,511.60x = 14,505.34 × 5,795.87
  4. Step 4: Simplify right side
    10,511.60x = 84,071,064.95
  5. Step 5: Solve for x
    x = 84,071,064.95/10,511.60
  6. Step 6: Final answer
    x = 7,997.93

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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.