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Finding the Fourth Proportional to 10,085.58, 15,122.34 and 5,923.62

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Solution

The fourth proportional to 10,085.58, 15,122.34 and 5,923.62 is: 8,881.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,085.58 : 15,122.34 = 5,923.62 : x
  2. Step 2: Convert to fraction form
    10,085.58/15,122.34 = 5,923.62/x
  3. Step 3: Cross multiply
    10,085.58x = 15,122.34 × 5,923.62
  4. Step 4: Simplify right side
    10,085.58x = 89,578,995.67
  5. Step 5: Solve for x
    x = 89,578,995.67/10,085.58
  6. Step 6: Final answer
    x = 8,881.89

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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.