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Finding the Fourth Proportional to 7,828.33, 10,803.53 and 4,643.51

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Solution

The fourth proportional to 7,828.33, 10,803.53 and 4,643.51 is: 6,408.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,828.33 : 10,803.53 = 4,643.51 : x
  2. Step 2: Convert to fraction form
    7,828.33/10,803.53 = 4,643.51/x
  3. Step 3: Cross multiply
    7,828.33x = 10,803.53 × 4,643.51
  4. Step 4: Simplify right side
    7,828.33x = 50,166,338.21
  5. Step 5: Solve for x
    x = 50,166,338.21/7,828.33
  6. Step 6: Final answer
    x = 6,408.31

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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.