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Finding the Fourth Proportional to 7,097.94, 10,647.63 and 2,417.94

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Solution

The fourth proportional to 7,097.94, 10,647.63 and 2,417.94 is: 3,627.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,097.94 : 10,647.63 = 2,417.94 : x
  2. Step 2: Convert to fraction form
    7,097.94/10,647.63 = 2,417.94/x
  3. Step 3: Cross multiply
    7,097.94x = 10,647.63 × 2,417.94
  4. Step 4: Simplify right side
    7,097.94x = 25,745,330.48
  5. Step 5: Solve for x
    x = 25,745,330.48/7,097.94
  6. Step 6: Final answer
    x = 3,627.16

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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.