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Finding the Fourth Proportional to 7,237.68, 10,856.50 and 2,307.32

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Solution

The fourth proportional to 7,237.68, 10,856.50 and 2,307.32 is: 3,460.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,237.68 : 10,856.50 = 2,307.32 : x
  2. Step 2: Convert to fraction form
    7,237.68/10,856.50 = 2,307.32/x
  3. Step 3: Cross multiply
    7,237.68x = 10,856.50 × 2,307.32
  4. Step 4: Simplify right side
    7,237.68x = 25,049,419.58
  5. Step 5: Solve for x
    x = 25,049,419.58/7,237.68
  6. Step 6: Final answer
    x = 3,460.97

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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.