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Finding the Fourth Proportional to 7,459.56, 10,294.44 and 4,102.50

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Solution

The fourth proportional to 7,459.56, 10,294.44 and 4,102.50 is: 5,661.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,459.56 : 10,294.44 = 4,102.50 : x
  2. Step 2: Convert to fraction form
    7,459.56/10,294.44 = 4,102.50/x
  3. Step 3: Cross multiply
    7,459.56x = 10,294.44 × 4,102.50
  4. Step 4: Simplify right side
    7,459.56x = 42,232,940.10
  5. Step 5: Solve for x
    x = 42,232,940.10/7,459.56
  6. Step 6: Final answer
    x = 5,661.59

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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.