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Finding the Fourth Proportional to 11,656.72, 17,492.34 and 5,083

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Solution

The fourth proportional to 11,656.72, 17,492.34 and 5,083 is: 7,627.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,656.72 : 17,492.34 = 5,083 : x
  2. Step 2: Convert to fraction form
    11,656.72/17,492.34 = 5,083/x
  3. Step 3: Cross multiply
    11,656.72x = 17,492.34 × 5,083
  4. Step 4: Simplify right side
    11,656.72x = 88,913,564.22
  5. Step 5: Solve for x
    x = 88,913,564.22/11,656.72
  6. Step 6: Final answer
    x = 7,627.67

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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.