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Finding the Fourth Proportional to 11,370.46, 15,686.88 and 7,119.76

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Solution

The fourth proportional to 11,370.46, 15,686.88 and 7,119.76 is: 9,822.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,370.46 : 15,686.88 = 7,119.76 : x
  2. Step 2: Convert to fraction form
    11,370.46/15,686.88 = 7,119.76/x
  3. Step 3: Cross multiply
    11,370.46x = 15,686.88 × 7,119.76
  4. Step 4: Simplify right side
    11,370.46x = 111,686,820.75
  5. Step 5: Solve for x
    x = 111,686,820.75/11,370.46
  6. Step 6: Final answer
    x = 9,822.54

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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.