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Finding the Fourth Proportional to 11,347.47, 15,662.07 and 6,313.50

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Solution

The fourth proportional to 11,347.47, 15,662.07 and 6,313.50 is: 8,714.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,347.47 : 15,662.07 = 6,313.50 : x
  2. Step 2: Convert to fraction form
    11,347.47/15,662.07 = 6,313.50/x
  3. Step 3: Cross multiply
    11,347.47x = 15,662.07 × 6,313.50
  4. Step 4: Simplify right side
    11,347.47x = 98,882,478.95
  5. Step 5: Solve for x
    x = 98,882,478.95/11,347.47
  6. Step 6: Final answer
    x = 8,714.06

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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.