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Finding the Fourth Proportional to 8,442.51, 11,650.68 and 5,085.47

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Solution

The fourth proportional to 8,442.51, 11,650.68 and 5,085.47 is: 7,017.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,442.51 : 11,650.68 = 5,085.47 : x
  2. Step 2: Convert to fraction form
    8,442.51/11,650.68 = 5,085.47/x
  3. Step 3: Cross multiply
    8,442.51x = 11,650.68 × 5,085.47
  4. Step 4: Simplify right side
    8,442.51x = 59,249,125.37
  5. Step 5: Solve for x
    x = 59,249,125.37/8,442.51
  6. Step 6: Final answer
    x = 7,017.95

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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.