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Finding the Fourth Proportional to 7,842.37, 10,822.49 and 4,257.34

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Solution

The fourth proportional to 7,842.37, 10,822.49 and 4,257.34 is: 5,875.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,842.37 : 10,822.49 = 4,257.34 : x
  2. Step 2: Convert to fraction form
    7,842.37/10,822.49 = 4,257.34/x
  3. Step 3: Cross multiply
    7,842.37x = 10,822.49 × 4,257.34
  4. Step 4: Simplify right side
    7,842.37x = 46,075,019.58
  5. Step 5: Solve for x
    x = 46,075,019.58/7,842.37
  6. Step 6: Final answer
    x = 5,875.14

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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.