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Finding the Fourth Proportional to 12,085.52, 16,678.43 and 7,048.94

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Solution

The fourth proportional to 12,085.52, 16,678.43 and 7,048.94 is: 9,727.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,085.52 : 16,678.43 = 7,048.94 : x
  2. Step 2: Convert to fraction form
    12,085.52/16,678.43 = 7,048.94/x
  3. Step 3: Cross multiply
    12,085.52x = 16,678.43 × 7,048.94
  4. Step 4: Simplify right side
    12,085.52x = 117,565,186.59
  5. Step 5: Solve for x
    x = 117,565,186.59/12,085.52
  6. Step 6: Final answer
    x = 9,727.78

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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.