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Finding the Fourth Proportional to 7,042, 10,555.41 and 4,578.59

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Solution

The fourth proportional to 7,042, 10,555.41 and 4,578.59 is: 6,862.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,042 : 10,555.41 = 4,578.59 : x
  2. Step 2: Convert to fraction form
    7,042/10,555.41 = 4,578.59/x
  3. Step 3: Cross multiply
    7,042x = 10,555.41 × 4,578.59
  4. Step 4: Simplify right side
    7,042x = 48,328,894.67
  5. Step 5: Solve for x
    x = 48,328,894.67/7,042
  6. Step 6: Final answer
    x = 6,862.95

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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.