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Finding the Fourth Proportional to 10,107.86, 13,948.54 and 5,859.01

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Solution

The fourth proportional to 10,107.86, 13,948.54 and 5,859.01 is: 8,085.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,107.86 : 13,948.54 = 5,859.01 : x
  2. Step 2: Convert to fraction form
    10,107.86/13,948.54 = 5,859.01/x
  3. Step 3: Cross multiply
    10,107.86x = 13,948.54 × 5,859.01
  4. Step 4: Simplify right side
    10,107.86x = 81,724,585.83
  5. Step 5: Solve for x
    x = 81,724,585.83/10,107.86
  6. Step 6: Final answer
    x = 8,085.25

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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.