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Finding the Fourth Proportional to 10,264.91, 14,165.59 and 5,549.19

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Solution

The fourth proportional to 10,264.91, 14,165.59 and 5,549.19 is: 7,657.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,264.91 : 14,165.59 = 5,549.19 : x
  2. Step 2: Convert to fraction form
    10,264.91/14,165.59 = 5,549.19/x
  3. Step 3: Cross multiply
    10,264.91x = 14,165.59 × 5,549.19
  4. Step 4: Simplify right side
    10,264.91x = 78,607,550.37
  5. Step 5: Solve for x
    x = 78,607,550.37/10,264.91
  6. Step 6: Final answer
    x = 7,657.89

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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.