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Finding the Fourth Proportional to 11,783.68, 16,261.14 and 7,594.36

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Solution

The fourth proportional to 11,783.68, 16,261.14 and 7,594.36 is: 10,480.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,783.68 : 16,261.14 = 7,594.36 : x
  2. Step 2: Convert to fraction form
    11,783.68/16,261.14 = 7,594.36/x
  3. Step 3: Cross multiply
    11,783.68x = 16,261.14 × 7,594.36
  4. Step 4: Simplify right side
    11,783.68x = 123,492,951.17
  5. Step 5: Solve for x
    x = 123,492,951.17/11,783.68
  6. Step 6: Final answer
    x = 10,480.00

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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.