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Finding the Fourth Proportional to 10,660.10, 14,714.61 and 6,413.54

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Solution

The fourth proportional to 10,660.10, 14,714.61 and 6,413.54 is: 8,852.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,660.10 : 14,714.61 = 6,413.54 : x
  2. Step 2: Convert to fraction form
    10,660.10/14,714.61 = 6,413.54/x
  3. Step 3: Cross multiply
    10,660.10x = 14,714.61 × 6,413.54
  4. Step 4: Simplify right side
    10,660.10x = 94,372,739.82
  5. Step 5: Solve for x
    x = 94,372,739.82/10,660.10
  6. Step 6: Final answer
    x = 8,852.89

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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.