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Finding the Fourth Proportional to 10,460.91, 14,437.24 and 6,213.00

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Solution

The fourth proportional to 10,460.91, 14,437.24 and 6,213.00 is: 8,574.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,460.91 : 14,437.24 = 6,213.00 : x
  2. Step 2: Convert to fraction form
    10,460.91/14,437.24 = 6,213.00/x
  3. Step 3: Cross multiply
    10,460.91x = 14,437.24 × 6,213.00
  4. Step 4: Simplify right side
    10,460.91x = 89,698,610.73
  5. Step 5: Solve for x
    x = 89,698,610.73/10,460.91
  6. Step 6: Final answer
    x = 8,574.64

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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.