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Finding the Fourth Proportional to 11,602.11, 17,405.15 and 4,578.46

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Solution

The fourth proportional to 11,602.11, 17,405.15 and 4,578.46 is: 6,868.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,602.11 : 17,405.15 = 4,578.46 : x
  2. Step 2: Convert to fraction form
    11,602.11/17,405.15 = 4,578.46/x
  3. Step 3: Cross multiply
    11,602.11x = 17,405.15 × 4,578.46
  4. Step 4: Simplify right side
    11,602.11x = 79,688,783.07
  5. Step 5: Solve for x
    x = 79,688,783.07/11,602.11
  6. Step 6: Final answer
    x = 6,868.47

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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.