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Finding the Fourth Proportional to 10,235.70, 14,125.77 and 5,759.22

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Solution

The fourth proportional to 10,235.70, 14,125.77 and 5,759.22 is: 7,948.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,235.70 : 14,125.77 = 5,759.22 : x
  2. Step 2: Convert to fraction form
    10,235.70/14,125.77 = 5,759.22/x
  3. Step 3: Cross multiply
    10,235.70x = 14,125.77 × 5,759.22
  4. Step 4: Simplify right side
    10,235.70x = 81,353,417.10
  5. Step 5: Solve for x
    x = 81,353,417.10/10,235.70
  6. Step 6: Final answer
    x = 7,948.01

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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.