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Finding the Fourth Proportional to 11,765.60, 17,648.41 and 7,386.14

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Solution

The fourth proportional to 11,765.60, 17,648.41 and 7,386.14 is: 11,079.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,765.60 : 17,648.41 = 7,386.14 : x
  2. Step 2: Convert to fraction form
    11,765.60/17,648.41 = 7,386.14/x
  3. Step 3: Cross multiply
    11,765.60x = 17,648.41 × 7,386.14
  4. Step 4: Simplify right side
    11,765.60x = 130,353,534.18
  5. Step 5: Solve for x
    x = 130,353,534.18/11,765.60
  6. Step 6: Final answer
    x = 11,079.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.