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Finding the Fourth Proportional to 10,603.87, 14,633.27 and 5,888.14

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Solution

The fourth proportional to 10,603.87, 14,633.27 and 5,888.14 is: 8,125.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,603.87 : 14,633.27 = 5,888.14 : x
  2. Step 2: Convert to fraction form
    10,603.87/14,633.27 = 5,888.14/x
  3. Step 3: Cross multiply
    10,603.87x = 14,633.27 × 5,888.14
  4. Step 4: Simplify right side
    10,603.87x = 86,162,712.98
  5. Step 5: Solve for x
    x = 86,162,712.98/10,603.87
  6. Step 6: Final answer
    x = 8,125.59

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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.