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Finding the Fourth Proportional to 10,359.78, 14,296.14 and 5,883.45

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Solution

The fourth proportional to 10,359.78, 14,296.14 and 5,883.45 is: 8,118.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,359.78 : 14,296.14 = 5,883.45 : x
  2. Step 2: Convert to fraction form
    10,359.78/14,296.14 = 5,883.45/x
  3. Step 3: Cross multiply
    10,359.78x = 14,296.14 × 5,883.45
  4. Step 4: Simplify right side
    10,359.78x = 84,110,624.88
  5. Step 5: Solve for x
    x = 84,110,624.88/10,359.78
  6. Step 6: Final answer
    x = 8,118.96

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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.