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Finding the Fourth Proportional to 7,828.66, 10,803.14 and 4,470.81

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Solution

The fourth proportional to 7,828.66, 10,803.14 and 4,470.81 is: 6,169.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,828.66 : 10,803.14 = 4,470.81 : x
  2. Step 2: Convert to fraction form
    7,828.66/10,803.14 = 4,470.81/x
  3. Step 3: Cross multiply
    7,828.66x = 10,803.14 × 4,470.81
  4. Step 4: Simplify right side
    7,828.66x = 48,298,763.99
  5. Step 5: Solve for x
    x = 48,298,763.99/7,828.66
  6. Step 6: Final answer
    x = 6,169.48

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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.