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Finding the Fourth Proportional to 11,484.96, 15,849.36 and 6,516

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Solution

The fourth proportional to 11,484.96, 15,849.36 and 6,516 is: 8,992.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,484.96 : 15,849.36 = 6,516 : x
  2. Step 2: Convert to fraction form
    11,484.96/15,849.36 = 6,516/x
  3. Step 3: Cross multiply
    11,484.96x = 15,849.36 × 6,516
  4. Step 4: Simplify right side
    11,484.96x = 103,274,429.76
  5. Step 5: Solve for x
    x = 103,274,429.76/11,484.96
  6. Step 6: Final answer
    x = 8,992.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.