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Finding the Fourth Proportional to 7,453, 10,285.14 and 4,141

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Solution

The fourth proportional to 7,453, 10,285.14 and 4,141 is: 5,714.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,453 : 10,285.14 = 4,141 : x
  2. Step 2: Convert to fraction form
    7,453/10,285.14 = 4,141/x
  3. Step 3: Cross multiply
    7,453x = 10,285.14 × 4,141
  4. Step 4: Simplify right side
    7,453x = 42,590,764.74
  5. Step 5: Solve for x
    x = 42,590,764.74/7,453
  6. Step 6: Final answer
    x = 5,714.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.