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Finding the Fourth Proportional to 11,107.86, 16,666.40 and 4,864.65

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Solution

The fourth proportional to 11,107.86, 16,666.40 and 4,864.65 is: 7,298.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,107.86 : 16,666.40 = 4,864.65 : x
  2. Step 2: Convert to fraction form
    11,107.86/16,666.40 = 4,864.65/x
  3. Step 3: Cross multiply
    11,107.86x = 16,666.40 × 4,864.65
  4. Step 4: Simplify right side
    11,107.86x = 81,076,178.44
  5. Step 5: Solve for x
    x = 81,076,178.44/11,107.86
  6. Step 6: Final answer
    x = 7,298.99

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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.