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Finding the Fourth Proportional to 7,586.35, 10,470.84 and 4,929.14

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Solution

The fourth proportional to 7,586.35, 10,470.84 and 4,929.14 is: 6,803.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,586.35 : 10,470.84 = 4,929.14 : x
  2. Step 2: Convert to fraction form
    7,586.35/10,470.84 = 4,929.14/x
  3. Step 3: Cross multiply
    7,586.35x = 10,470.84 × 4,929.14
  4. Step 4: Simplify right side
    7,586.35x = 51,612,243.97
  5. Step 5: Solve for x
    x = 51,612,243.97/7,586.35
  6. Step 6: Final answer
    x = 6,803.31

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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.