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Finding the Fourth Proportional to 10,578.47, 14,598.09 and 6,102.61

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Solution

The fourth proportional to 10,578.47, 14,598.09 and 6,102.61 is: 8,421.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,578.47 : 14,598.09 = 6,102.61 : x
  2. Step 2: Convert to fraction form
    10,578.47/14,598.09 = 6,102.61/x
  3. Step 3: Cross multiply
    10,578.47x = 14,598.09 × 6,102.61
  4. Step 4: Simplify right side
    10,578.47x = 89,086,413.52
  5. Step 5: Solve for x
    x = 89,086,413.52/10,578.47
  6. Step 6: Final answer
    x = 8,421.49

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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.