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Finding the Fourth Proportional to 10,549.04, 14,557.19 and 5,768.87

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Solution

The fourth proportional to 10,549.04, 14,557.19 and 5,768.87 is: 7,960.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,549.04 : 14,557.19 = 5,768.87 : x
  2. Step 2: Convert to fraction form
    10,549.04/14,557.19 = 5,768.87/x
  3. Step 3: Cross multiply
    10,549.04x = 14,557.19 × 5,768.87
  4. Step 4: Simplify right side
    10,549.04x = 83,978,435.05
  5. Step 5: Solve for x
    x = 83,978,435.05/10,549.04
  6. Step 6: Final answer
    x = 7,960.77

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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.