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Finding the Fourth Proportional to 10,572.48, 14,590.05 and 6,096.54

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Solution

The fourth proportional to 10,572.48, 14,590.05 and 6,096.54 is: 8,413.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,572.48 : 14,590.05 = 6,096.54 : x
  2. Step 2: Convert to fraction form
    10,572.48/14,590.05 = 6,096.54/x
  3. Step 3: Cross multiply
    10,572.48x = 14,590.05 × 6,096.54
  4. Step 4: Simplify right side
    10,572.48x = 88,948,823.43
  5. Step 5: Solve for x
    x = 88,948,823.43/10,572.48
  6. Step 6: Final answer
    x = 8,413.24

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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.