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Finding the Fourth Proportional to 11,904.78, 16,428.78 and 6,527.71

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Solution

The fourth proportional to 11,904.78, 16,428.78 and 6,527.71 is: 9,008.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,904.78 : 16,428.78 = 6,527.71 : x
  2. Step 2: Convert to fraction form
    11,904.78/16,428.78 = 6,527.71/x
  3. Step 3: Cross multiply
    11,904.78x = 16,428.78 × 6,527.71
  4. Step 4: Simplify right side
    11,904.78x = 107,242,270.42
  5. Step 5: Solve for x
    x = 107,242,270.42/11,904.78
  6. Step 6: Final answer
    x = 9,008.34

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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.