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Finding the Fourth Proportional to 11,578.70, 17,368.05 and 5,746.70

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Solution

The fourth proportional to 11,578.70, 17,368.05 and 5,746.70 is: 8,620.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,578.70 : 17,368.05 = 5,746.70 : x
  2. Step 2: Convert to fraction form
    11,578.70/17,368.05 = 5,746.70/x
  3. Step 3: Cross multiply
    11,578.70x = 17,368.05 × 5,746.70
  4. Step 4: Simplify right side
    11,578.70x = 99,808,972.94
  5. Step 5: Solve for x
    x = 99,808,972.94/11,578.70
  6. Step 6: Final answer
    x = 8,620.05

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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.