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Finding the Fourth Proportional to 11,347.80, 15,662.40 and 6,313.72

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Solution

The fourth proportional to 11,347.80, 15,662.40 and 6,313.72 is: 8,714.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,347.80 : 15,662.40 = 6,313.72 : x
  2. Step 2: Convert to fraction form
    11,347.80/15,662.40 = 6,313.72/x
  3. Step 3: Cross multiply
    11,347.80x = 15,662.40 × 6,313.72
  4. Step 4: Simplify right side
    11,347.80x = 98,888,008.13
  5. Step 5: Solve for x
    x = 98,888,008.13/11,347.80
  6. Step 6: Final answer
    x = 8,714.29

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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.