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Finding the Fourth Proportional to 10,678.77, 14,735.60 and 6,203.46

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Solution

The fourth proportional to 10,678.77, 14,735.60 and 6,203.46 is: 8,560.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,678.77 : 14,735.60 = 6,203.46 : x
  2. Step 2: Convert to fraction form
    10,678.77/14,735.60 = 6,203.46/x
  3. Step 3: Cross multiply
    10,678.77x = 14,735.60 × 6,203.46
  4. Step 4: Simplify right side
    10,678.77x = 91,411,752.68
  5. Step 5: Solve for x
    x = 91,411,752.68/10,678.77
  6. Step 6: Final answer
    x = 8,560.14

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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.