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Finding the Fourth Proportional to 7,345.47, 11,017.08 and 2,415.20

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Solution

The fourth proportional to 7,345.47, 11,017.08 and 2,415.20 is: 3,622.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,345.47 : 11,017.08 = 2,415.20 : x
  2. Step 2: Convert to fraction form
    7,345.47/11,017.08 = 2,415.20/x
  3. Step 3: Cross multiply
    7,345.47x = 11,017.08 × 2,415.20
  4. Step 4: Simplify right side
    7,345.47x = 26,608,396.53
  5. Step 5: Solve for x
    x = 26,608,396.53/7,345.47
  6. Step 6: Final answer
    x = 3,622.42

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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.