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Finding the Fourth Proportional to 7,705.38, 11,549.19 and 3,484.08

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Solution

The fourth proportional to 7,705.38, 11,549.19 and 3,484.08 is: 5,222.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,705.38 : 11,549.19 = 3,484.08 : x
  2. Step 2: Convert to fraction form
    7,705.38/11,549.19 = 3,484.08/x
  3. Step 3: Cross multiply
    7,705.38x = 11,549.19 × 3,484.08
  4. Step 4: Simplify right side
    7,705.38x = 40,238,301.90
  5. Step 5: Solve for x
    x = 40,238,301.90/7,705.38
  6. Step 6: Final answer
    x = 5,222.10

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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.