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Finding the Fourth Proportional to 10,505.84, 14,497.87 and 5,725.83

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Solution

The fourth proportional to 10,505.84, 14,497.87 and 5,725.83 is: 7,901.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,505.84 : 14,497.87 = 5,725.83 : x
  2. Step 2: Convert to fraction form
    10,505.84/14,497.87 = 5,725.83/x
  3. Step 3: Cross multiply
    10,505.84x = 14,497.87 × 5,725.83
  4. Step 4: Simplify right side
    10,505.84x = 83,012,338.98
  5. Step 5: Solve for x
    x = 83,012,338.98/10,505.84
  6. Step 6: Final answer
    x = 7,901.54

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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.