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Finding the Fourth Proportional to 10,483.62, 14,467.77 and 5,768.34

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Solution

The fourth proportional to 10,483.62, 14,467.77 and 5,768.34 is: 7,960.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,483.62 : 14,467.77 = 5,768.34 : x
  2. Step 2: Convert to fraction form
    10,483.62/14,467.77 = 5,768.34/x
  3. Step 3: Cross multiply
    10,483.62x = 14,467.77 × 5,768.34
  4. Step 4: Simplify right side
    10,483.62x = 83,455,016.40
  5. Step 5: Solve for x
    x = 83,455,016.40/10,483.62
  6. Step 6: Final answer
    x = 7,960.52

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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.