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Finding the Fourth Proportional to 11,777.68, 16,253.48 and 6,473

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Solution

The fourth proportional to 11,777.68, 16,253.48 and 6,473 is: 8,932.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,777.68 : 16,253.48 = 6,473 : x
  2. Step 2: Convert to fraction form
    11,777.68/16,253.48 = 6,473/x
  3. Step 3: Cross multiply
    11,777.68x = 16,253.48 × 6,473
  4. Step 4: Simplify right side
    11,777.68x = 105,208,776.04
  5. Step 5: Solve for x
    x = 105,208,776.04/11,777.68
  6. Step 6: Final answer
    x = 8,932.89

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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.