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Finding the Fourth Proportional to 10,359.34, 14,295.74 and 5,883.05

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Solution

The fourth proportional to 10,359.34, 14,295.74 and 5,883.05 is: 8,118.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,359.34 : 14,295.74 = 5,883.05 : x
  2. Step 2: Convert to fraction form
    10,359.34/14,295.74 = 5,883.05/x
  3. Step 3: Cross multiply
    10,359.34x = 14,295.74 × 5,883.05
  4. Step 4: Simplify right side
    10,359.34x = 84,102,512.21
  5. Step 5: Solve for x
    x = 84,102,512.21/10,359.34
  6. Step 6: Final answer
    x = 8,118.52

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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.