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Finding the Fourth Proportional to 12,904.86, 17,809.02 and 7,315.86

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Solution

The fourth proportional to 12,904.86, 17,809.02 and 7,315.86 is: 10,096.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,904.86 : 17,809.02 = 7,315.86 : x
  2. Step 2: Convert to fraction form
    12,904.86/17,809.02 = 7,315.86/x
  3. Step 3: Cross multiply
    12,904.86x = 17,809.02 × 7,315.86
  4. Step 4: Simplify right side
    12,904.86x = 130,288,297.06
  5. Step 5: Solve for x
    x = 130,288,297.06/12,904.86
  6. Step 6: Final answer
    x = 10,096.06

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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.