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Finding the Fourth Proportional to 8,505.54, 11,748.69 and 5,848.29

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Solution

The fourth proportional to 8,505.54, 11,748.69 and 5,848.29 is: 8,078.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,505.54 : 11,748.69 = 5,848.29 : x
  2. Step 2: Convert to fraction form
    8,505.54/11,748.69 = 5,848.29/x
  3. Step 3: Cross multiply
    8,505.54x = 11,748.69 × 5,848.29
  4. Step 4: Simplify right side
    8,505.54x = 68,709,746.24
  5. Step 5: Solve for x
    x = 68,709,746.24/8,505.54
  6. Step 6: Final answer
    x = 8,078.23

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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.