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Finding the Fourth Proportional to 11,186.87, 15,437.55 and 6,406.66

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Solution

The fourth proportional to 11,186.87, 15,437.55 and 6,406.66 is: 8,840.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,186.87 : 15,437.55 = 6,406.66 : x
  2. Step 2: Convert to fraction form
    11,186.87/15,437.55 = 6,406.66/x
  3. Step 3: Cross multiply
    11,186.87x = 15,437.55 × 6,406.66
  4. Step 4: Simplify right side
    11,186.87x = 98,903,024.86
  5. Step 5: Solve for x
    x = 98,903,024.86/11,186.87
  6. Step 6: Final answer
    x = 8,840.99

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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.