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Finding the Fourth Proportional to 11,386.44, 15,705.72 and 7,412.76

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Solution

The fourth proportional to 11,386.44, 15,705.72 and 7,412.76 is: 10,224.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,386.44 : 15,705.72 = 7,412.76 : x
  2. Step 2: Convert to fraction form
    11,386.44/15,705.72 = 7,412.76/x
  3. Step 3: Cross multiply
    11,386.44x = 15,705.72 × 7,412.76
  4. Step 4: Simplify right side
    11,386.44x = 116,422,732.99
  5. Step 5: Solve for x
    x = 116,422,732.99/11,386.44
  6. Step 6: Final answer
    x = 10,224.68

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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.