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Finding the Fourth Proportional to 27,431.07, 41,146.79 and 7,710

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Solution

The fourth proportional to 27,431.07, 41,146.79 and 7,710 is: 11,565.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,431.07 : 41,146.79 = 7,710 : x
  2. Step 2: Convert to fraction form
    27,431.07/41,146.79 = 7,710/x
  3. Step 3: Cross multiply
    27,431.07x = 41,146.79 × 7,710
  4. Step 4: Simplify right side
    27,431.07x = 317,241,712.35
  5. Step 5: Solve for x
    x = 317,241,712.35/27,431.07
  6. Step 6: Final answer
    x = 11,565.05

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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.