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Finding the Fourth Proportional to 10,588.77, 14,612.49 and 5,873.07

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Solution

The fourth proportional to 10,588.77, 14,612.49 and 5,873.07 is: 8,104.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,588.77 : 14,612.49 = 5,873.07 : x
  2. Step 2: Convert to fraction form
    10,588.77/14,612.49 = 5,873.07/x
  3. Step 3: Cross multiply
    10,588.77x = 14,612.49 × 5,873.07
  4. Step 4: Simplify right side
    10,588.77x = 85,820,176.64
  5. Step 5: Solve for x
    x = 85,820,176.64/10,588.77
  6. Step 6: Final answer
    x = 8,104.83

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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.