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Finding the Fourth Proportional to 11,537.56, 17,312.76 and 8,781.40

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Solution

The fourth proportional to 11,537.56, 17,312.76 and 8,781.40 is: 13,176.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,537.56 : 17,312.76 = 8,781.40 : x
  2. Step 2: Convert to fraction form
    11,537.56/17,312.76 = 8,781.40/x
  3. Step 3: Cross multiply
    11,537.56x = 17,312.76 × 8,781.40
  4. Step 4: Simplify right side
    11,537.56x = 152,030,270.66
  5. Step 5: Solve for x
    x = 152,030,270.66/11,537.56
  6. Step 6: Final answer
    x = 13,176.99

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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.