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Finding the Fourth Proportional to 11,870.36, 17,808.84 and 5,207.48

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Solution

The fourth proportional to 11,870.36, 17,808.84 and 5,207.48 is: 7,812.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,870.36 : 17,808.84 = 5,207.48 : x
  2. Step 2: Convert to fraction form
    11,870.36/17,808.84 = 5,207.48/x
  3. Step 3: Cross multiply
    11,870.36x = 17,808.84 × 5,207.48
  4. Step 4: Simplify right side
    11,870.36x = 92,739,089.08
  5. Step 5: Solve for x
    x = 92,739,089.08/11,870.36
  6. Step 6: Final answer
    x = 7,812.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.