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Finding the Fourth Proportional to 10,598.27, 14,625.83 and 5,883.26

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Solution

The fourth proportional to 10,598.27, 14,625.83 and 5,883.26 is: 8,119.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,598.27 : 14,625.83 = 5,883.26 : x
  2. Step 2: Convert to fraction form
    10,598.27/14,625.83 = 5,883.26/x
  3. Step 3: Cross multiply
    10,598.27x = 14,625.83 × 5,883.26
  4. Step 4: Simplify right side
    10,598.27x = 86,047,502.18
  5. Step 5: Solve for x
    x = 86,047,502.18/10,598.27
  6. Step 6: Final answer
    x = 8,119.02

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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.