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Finding the Fourth Proportional to 12,248.86, 16,900.47 and 7,771

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Solution

The fourth proportional to 12,248.86, 16,900.47 and 7,771 is: 10,722.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,248.86 : 16,900.47 = 7,771 : x
  2. Step 2: Convert to fraction form
    12,248.86/16,900.47 = 7,771/x
  3. Step 3: Cross multiply
    12,248.86x = 16,900.47 × 7,771
  4. Step 4: Simplify right side
    12,248.86x = 131,333,552.37
  5. Step 5: Solve for x
    x = 131,333,552.37/12,248.86
  6. Step 6: Final answer
    x = 10,722.10

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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.