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Finding the Fourth Proportional to 7,460.30, 10,295.17 and 4,103.06

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Solution

The fourth proportional to 7,460.30, 10,295.17 and 4,103.06 is: 5,662.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,460.30 : 10,295.17 = 4,103.06 : x
  2. Step 2: Convert to fraction form
    7,460.30/10,295.17 = 4,103.06/x
  3. Step 3: Cross multiply
    7,460.30x = 10,295.17 × 4,103.06
  4. Step 4: Simplify right side
    7,460.30x = 42,241,638.49
  5. Step 5: Solve for x
    x = 42,241,638.49/7,460.30
  6. Step 6: Final answer
    x = 5,662.19

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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.