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Finding the Fourth Proportional to 10,263.56, 14,162.72 and 5,788.01

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Solution

The fourth proportional to 10,263.56, 14,162.72 and 5,788.01 is: 7,986.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,263.56 : 14,162.72 = 5,788.01 : x
  2. Step 2: Convert to fraction form
    10,263.56/14,162.72 = 5,788.01/x
  3. Step 3: Cross multiply
    10,263.56x = 14,162.72 × 5,788.01
  4. Step 4: Simplify right side
    10,263.56x = 81,973,940.62
  5. Step 5: Solve for x
    x = 81,973,940.62/10,263.56
  6. Step 6: Final answer
    x = 7,986.89

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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.