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Finding the Fourth Proportional to 11,014.66, 15,202.86 and 6,301.66

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Solution

The fourth proportional to 11,014.66, 15,202.86 and 6,301.66 is: 8,697.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,014.66 : 15,202.86 = 6,301.66 : x
  2. Step 2: Convert to fraction form
    11,014.66/15,202.86 = 6,301.66/x
  3. Step 3: Cross multiply
    11,014.66x = 15,202.86 × 6,301.66
  4. Step 4: Simplify right side
    11,014.66x = 95,803,254.75
  5. Step 5: Solve for x
    x = 95,803,254.75/11,014.66
  6. Step 6: Final answer
    x = 8,697.80

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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.