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Finding the Fourth Proportional to 10,572.90, 14,592.16 and 6,095.78

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Solution

The fourth proportional to 10,572.90, 14,592.16 and 6,095.78 is: 8,413.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,572.90 : 14,592.16 = 6,095.78 : x
  2. Step 2: Convert to fraction form
    10,572.90/14,592.16 = 6,095.78/x
  3. Step 3: Cross multiply
    10,572.90x = 14,592.16 × 6,095.78
  4. Step 4: Simplify right side
    10,572.90x = 88,950,493.65
  5. Step 5: Solve for x
    x = 88,950,493.65/10,572.90
  6. Step 6: Final answer
    x = 8,413.06

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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.