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Finding the Fourth Proportional to 7,783.76, 11,607.09 and 7,713.56

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Solution

The fourth proportional to 7,783.76, 11,607.09 and 7,713.56 is: 11,502.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,783.76 : 11,607.09 = 7,713.56 : x
  2. Step 2: Convert to fraction form
    7,783.76/11,607.09 = 7,713.56/x
  3. Step 3: Cross multiply
    7,783.76x = 11,607.09 × 7,713.56
  4. Step 4: Simplify right side
    7,783.76x = 89,531,985.14
  5. Step 5: Solve for x
    x = 89,531,985.14/7,783.76
  6. Step 6: Final answer
    x = 11,502.41

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.