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Finding the Fourth Proportional to 10,605.68, 14,635.56 and 5,889.84

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Solution

The fourth proportional to 10,605.68, 14,635.56 and 5,889.84 is: 8,127.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,605.68 : 14,635.56 = 5,889.84 : x
  2. Step 2: Convert to fraction form
    10,605.68/14,635.56 = 5,889.84/x
  3. Step 3: Cross multiply
    10,605.68x = 14,635.56 × 5,889.84
  4. Step 4: Simplify right side
    10,605.68x = 86,201,106.71
  5. Step 5: Solve for x
    x = 86,201,106.71/10,605.68
  6. Step 6: Final answer
    x = 8,127.82

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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.