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Finding the Fourth Proportional to 8,123.63, 11,208.98 and 4,586.15

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Solution

The fourth proportional to 8,123.63, 11,208.98 and 4,586.15 is: 6,327.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,123.63 : 11,208.98 = 4,586.15 : x
  2. Step 2: Convert to fraction form
    8,123.63/11,208.98 = 4,586.15/x
  3. Step 3: Cross multiply
    8,123.63x = 11,208.98 × 4,586.15
  4. Step 4: Simplify right side
    8,123.63x = 51,406,103.11
  5. Step 5: Solve for x
    x = 51,406,103.11/8,123.63
  6. Step 6: Final answer
    x = 6,327.98

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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.