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Finding the Fourth Proportional to 10,347.66, 14,279.76 and 5,631.93

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Solution

The fourth proportional to 10,347.66, 14,279.76 and 5,631.93 is: 7,772.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,347.66 : 14,279.76 = 5,631.93 : x
  2. Step 2: Convert to fraction form
    10,347.66/14,279.76 = 5,631.93/x
  3. Step 3: Cross multiply
    10,347.66x = 14,279.76 × 5,631.93
  4. Step 4: Simplify right side
    10,347.66x = 80,422,608.74
  5. Step 5: Solve for x
    x = 80,422,608.74/10,347.66
  6. Step 6: Final answer
    x = 7,772.06

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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.