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Finding the Fourth Proportional to 8,186.86, 11,298.05 and 4,830.49

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Solution

The fourth proportional to 8,186.86, 11,298.05 and 4,830.49 is: 6,666.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,186.86 : 11,298.05 = 4,830.49 : x
  2. Step 2: Convert to fraction form
    8,186.86/11,298.05 = 4,830.49/x
  3. Step 3: Cross multiply
    8,186.86x = 11,298.05 × 4,830.49
  4. Step 4: Simplify right side
    8,186.86x = 54,575,117.54
  5. Step 5: Solve for x
    x = 54,575,117.54/8,186.86
  6. Step 6: Final answer
    x = 6,666.18

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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.