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Finding the Fourth Proportional to 10,610.79, 14,641.32 and 5,895.07

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Solution

The fourth proportional to 10,610.79, 14,641.32 and 5,895.07 is: 8,134.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,610.79 : 14,641.32 = 5,895.07 : x
  2. Step 2: Convert to fraction form
    10,610.79/14,641.32 = 5,895.07/x
  3. Step 3: Cross multiply
    10,610.79x = 14,641.32 × 5,895.07
  4. Step 4: Simplify right side
    10,610.79x = 86,311,606.29
  5. Step 5: Solve for x
    x = 86,311,606.29/10,610.79
  6. Step 6: Final answer
    x = 8,134.32

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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.