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Finding the Fourth Proportional to 10,235.84, 14,126.06 and 5,759.91

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Solution

The fourth proportional to 10,235.84, 14,126.06 and 5,759.91 is: 7,949.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,235.84 : 14,126.06 = 5,759.91 : x
  2. Step 2: Convert to fraction form
    10,235.84/14,126.06 = 5,759.91/x
  3. Step 3: Cross multiply
    10,235.84x = 14,126.06 × 5,759.91
  4. Step 4: Simplify right side
    10,235.84x = 81,364,848.65
  5. Step 5: Solve for x
    x = 81,364,848.65/10,235.84
  6. Step 6: Final answer
    x = 7,949.02

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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.