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Finding the Fourth Proportional to 10,392.88, 14,341.23 and 5,856.30

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Solution

The fourth proportional to 10,392.88, 14,341.23 and 5,856.30 is: 8,081.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,392.88 : 14,341.23 = 5,856.30 : x
  2. Step 2: Convert to fraction form
    10,392.88/14,341.23 = 5,856.30/x
  3. Step 3: Cross multiply
    10,392.88x = 14,341.23 × 5,856.30
  4. Step 4: Simplify right side
    10,392.88x = 83,986,574.91
  5. Step 5: Solve for x
    x = 83,986,574.91/10,392.88
  6. Step 6: Final answer
    x = 8,081.16

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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.