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Finding the Fourth Proportional to 10,000.86, 15,010.70 and 5,074.03

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Solution

The fourth proportional to 10,000.86, 15,010.70 and 5,074.03 is: 7,615.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,000.86 : 15,010.70 = 5,074.03 : x
  2. Step 2: Convert to fraction form
    10,000.86/15,010.70 = 5,074.03/x
  3. Step 3: Cross multiply
    10,000.86x = 15,010.70 × 5,074.03
  4. Step 4: Simplify right side
    10,000.86x = 76,164,742.12
  5. Step 5: Solve for x
    x = 76,164,742.12/10,000.86
  6. Step 6: Final answer
    x = 7,615.82

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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.