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Finding the Fourth Proportional to 7,854.23, 10,837.52 and 5,205.23

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Solution

The fourth proportional to 7,854.23, 10,837.52 and 5,205.23 is: 7,182.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,854.23 : 10,837.52 = 5,205.23 : x
  2. Step 2: Convert to fraction form
    7,854.23/10,837.52 = 5,205.23/x
  3. Step 3: Cross multiply
    7,854.23x = 10,837.52 × 5,205.23
  4. Step 4: Simplify right side
    7,854.23x = 56,411,743.06
  5. Step 5: Solve for x
    x = 56,411,743.06/7,854.23
  6. Step 6: Final answer
    x = 7,182.34

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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.