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Finding the Fourth Proportional to 7,852.48, 10,833.60 and 5,342.40

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Solution

The fourth proportional to 7,852.48, 10,833.60 and 5,342.40 is: 7,370.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,852.48 : 10,833.60 = 5,342.40 : x
  2. Step 2: Convert to fraction form
    7,852.48/10,833.60 = 5,342.40/x
  3. Step 3: Cross multiply
    7,852.48x = 10,833.60 × 5,342.40
  4. Step 4: Simplify right side
    7,852.48x = 57,877,424.64
  5. Step 5: Solve for x
    x = 57,877,424.64/7,852.48
  6. Step 6: Final answer
    x = 7,370.59

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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.