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Finding the Fourth Proportional to 7,165.55, 10,752.47 and 3,005.19

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Solution

The fourth proportional to 7,165.55, 10,752.47 and 3,005.19 is: 4,509.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,165.55 : 10,752.47 = 3,005.19 : x
  2. Step 2: Convert to fraction form
    7,165.55/10,752.47 = 3,005.19/x
  3. Step 3: Cross multiply
    7,165.55x = 10,752.47 × 3,005.19
  4. Step 4: Simplify right side
    7,165.55x = 32,313,169.07
  5. Step 5: Solve for x
    x = 32,313,169.07/7,165.55
  6. Step 6: Final answer
    x = 4,509.52

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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.