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Finding the Fourth Proportional to 7,345, 11,010.21 and 4,059.64

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Solution

The fourth proportional to 7,345, 11,010.21 and 4,059.64 is: 6,085.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,345 : 11,010.21 = 4,059.64 : x
  2. Step 2: Convert to fraction form
    7,345/11,010.21 = 4,059.64/x
  3. Step 3: Cross multiply
    7,345x = 11,010.21 × 4,059.64
  4. Step 4: Simplify right side
    7,345x = 44,697,488.92
  5. Step 5: Solve for x
    x = 44,697,488.92/7,345
  6. Step 6: Final answer
    x = 6,085.43

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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.