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Finding the Fourth Proportional to 8,315.89, 11,476.14 and 4,731.46

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Solution

The fourth proportional to 8,315.89, 11,476.14 and 4,731.46 is: 6,529.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,315.89 : 11,476.14 = 4,731.46 : x
  2. Step 2: Convert to fraction form
    8,315.89/11,476.14 = 4,731.46/x
  3. Step 3: Cross multiply
    8,315.89x = 11,476.14 × 4,731.46
  4. Step 4: Simplify right side
    8,315.89x = 54,298,897.36
  5. Step 5: Solve for x
    x = 54,298,897.36/8,315.89
  6. Step 6: Final answer
    x = 6,529.54

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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.