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Finding the Fourth Proportional to 10,320.78, 14,246.31 and 6,129

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Solution

The fourth proportional to 10,320.78, 14,246.31 and 6,129 is: 8,460.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,320.78 : 14,246.31 = 6,129 : x
  2. Step 2: Convert to fraction form
    10,320.78/14,246.31 = 6,129/x
  3. Step 3: Cross multiply
    10,320.78x = 14,246.31 × 6,129
  4. Step 4: Simplify right side
    10,320.78x = 87,315,633.99
  5. Step 5: Solve for x
    x = 87,315,633.99/10,320.78
  6. Step 6: Final answer
    x = 8,460.18

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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.