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Finding the Fourth Proportional to 11,412.59, 15,749.40 and 6,377.01

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Solution

The fourth proportional to 11,412.59, 15,749.40 and 6,377.01 is: 8,800.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,412.59 : 15,749.40 = 6,377.01 : x
  2. Step 2: Convert to fraction form
    11,412.59/15,749.40 = 6,377.01/x
  3. Step 3: Cross multiply
    11,412.59x = 15,749.40 × 6,377.01
  4. Step 4: Simplify right side
    11,412.59x = 100,434,081.29
  5. Step 5: Solve for x
    x = 100,434,081.29/11,412.59
  6. Step 6: Final answer
    x = 8,800.29

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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.