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Finding the Fourth Proportional to 10,256.78, 14,149.92 and 6,477.32

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Solution

The fourth proportional to 10,256.78, 14,149.92 and 6,477.32 is: 8,935.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,256.78 : 14,149.92 = 6,477.32 : x
  2. Step 2: Convert to fraction form
    10,256.78/14,149.92 = 6,477.32/x
  3. Step 3: Cross multiply
    10,256.78x = 14,149.92 × 6,477.32
  4. Step 4: Simplify right side
    10,256.78x = 91,653,559.81
  5. Step 5: Solve for x
    x = 91,653,559.81/10,256.78
  6. Step 6: Final answer
    x = 8,935.90

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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.