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Finding the Fourth Proportional to 11,385.40, 17,069.88 and 7,678.36

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Solution

The fourth proportional to 11,385.40, 17,069.88 and 7,678.36 is: 11,512.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,385.40 : 17,069.88 = 7,678.36 : x
  2. Step 2: Convert to fraction form
    11,385.40/17,069.88 = 7,678.36/x
  3. Step 3: Cross multiply
    11,385.40x = 17,069.88 × 7,678.36
  4. Step 4: Simplify right side
    11,385.40x = 131,068,683.80
  5. Step 5: Solve for x
    x = 131,068,683.80/11,385.40
  6. Step 6: Final answer
    x = 11,512.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.