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Finding the Fourth Proportional to 7,828.68, 10,803.69 and 4,684.26

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Solution

The fourth proportional to 7,828.68, 10,803.69 and 4,684.26 is: 6,464.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,828.68 : 10,803.69 = 4,684.26 : x
  2. Step 2: Convert to fraction form
    7,828.68/10,803.69 = 4,684.26/x
  3. Step 3: Cross multiply
    7,828.68x = 10,803.69 × 4,684.26
  4. Step 4: Simplify right side
    7,828.68x = 50,607,292.92
  5. Step 5: Solve for x
    x = 50,607,292.92/7,828.68
  6. Step 6: Final answer
    x = 6,464.35

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