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Finding the Fourth Proportional to 11,312.69, 15,610.99 and 6,276.86

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Solution

The fourth proportional to 11,312.69, 15,610.99 and 6,276.86 is: 8,661.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,312.69 : 15,610.99 = 6,276.86 : x
  2. Step 2: Convert to fraction form
    11,312.69/15,610.99 = 6,276.86/x
  3. Step 3: Cross multiply
    11,312.69x = 15,610.99 × 6,276.86
  4. Step 4: Simplify right side
    11,312.69x = 97,987,889.25
  5. Step 5: Solve for x
    x = 97,987,889.25/11,312.69
  6. Step 6: Final answer
    x = 8,661.77

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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.