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Finding the Fourth Proportional to 7,406.64, 11,101.95 and 3,701.52

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Solution

The fourth proportional to 7,406.64, 11,101.95 and 3,701.52 is: 5,548.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,406.64 : 11,101.95 = 3,701.52 : x
  2. Step 2: Convert to fraction form
    7,406.64/11,101.95 = 3,701.52/x
  3. Step 3: Cross multiply
    7,406.64x = 11,101.95 × 3,701.52
  4. Step 4: Simplify right side
    7,406.64x = 41,094,089.96
  5. Step 5: Solve for x
    x = 41,094,089.96/7,406.64
  6. Step 6: Final answer
    x = 5,548.28

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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.