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Finding the Fourth Proportional to 7,165.86, 10,752.94 and 3,005.50

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Solution

The fourth proportional to 7,165.86, 10,752.94 and 3,005.50 is: 4,509.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,165.86 : 10,752.94 = 3,005.50 : x
  2. Step 2: Convert to fraction form
    7,165.86/10,752.94 = 3,005.50/x
  3. Step 3: Cross multiply
    7,165.86x = 10,752.94 × 3,005.50
  4. Step 4: Simplify right side
    7,165.86x = 32,317,938.04
  5. Step 5: Solve for x
    x = 32,317,938.04/7,165.86
  6. Step 6: Final answer
    x = 4,509.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.