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Finding the Fourth Proportional to 10,724.22, 16,068.55 and 7,588.69

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Solution

The fourth proportional to 10,724.22, 16,068.55 and 7,588.69 is: 11,370.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,724.22 : 16,068.55 = 7,588.69 : x
  2. Step 2: Convert to fraction form
    10,724.22/16,068.55 = 7,588.69/x
  3. Step 3: Cross multiply
    10,724.22x = 16,068.55 × 7,588.69
  4. Step 4: Simplify right side
    10,724.22x = 121,939,244.70
  5. Step 5: Solve for x
    x = 121,939,244.70/10,724.22
  6. Step 6: Final answer
    x = 11,370.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.