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Finding the Fourth Proportional to 11,312.31, 15,596.64 and 8,085.99

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Solution

The fourth proportional to 11,312.31, 15,596.64 and 8,085.99 is: 11,148.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,312.31 : 15,596.64 = 8,085.99 : x
  2. Step 2: Convert to fraction form
    11,312.31/15,596.64 = 8,085.99/x
  3. Step 3: Cross multiply
    11,312.31x = 15,596.64 × 8,085.99
  4. Step 4: Simplify right side
    11,312.31x = 126,114,275.07
  5. Step 5: Solve for x
    x = 126,114,275.07/11,312.31
  6. Step 6: Final answer
    x = 11,148.41

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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.