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Finding the Fourth Proportional to 11,902.90, 16,427.18 and 6,598.74

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Solution

The fourth proportional to 11,902.90, 16,427.18 and 6,598.74 is: 9,106.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,902.90 : 16,427.18 = 6,598.74 : x
  2. Step 2: Convert to fraction form
    11,902.90/16,427.18 = 6,598.74/x
  3. Step 3: Cross multiply
    11,902.90x = 16,427.18 × 6,598.74
  4. Step 4: Simplify right side
    11,902.90x = 108,398,703.09
  5. Step 5: Solve for x
    x = 108,398,703.09/11,902.90
  6. Step 6: Final answer
    x = 9,106.92

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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.