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Finding the Fourth Proportional to 10,275.95, 14,181.44 and 5,798.06

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Solution

The fourth proportional to 10,275.95, 14,181.44 and 5,798.06 is: 8,001.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,275.95 : 14,181.44 = 5,798.06 : x
  2. Step 2: Convert to fraction form
    10,275.95/14,181.44 = 5,798.06/x
  3. Step 3: Cross multiply
    10,275.95x = 14,181.44 × 5,798.06
  4. Step 4: Simplify right side
    10,275.95x = 82,224,889.96
  5. Step 5: Solve for x
    x = 82,224,889.96/10,275.95
  6. Step 6: Final answer
    x = 8,001.69

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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.