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Finding the Fourth Proportional to 7,460.14, 10,294.99 and 4,103.01

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Solution

The fourth proportional to 7,460.14, 10,294.99 and 4,103.01 is: 5,662.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,460.14 : 10,294.99 = 4,103.01 : x
  2. Step 2: Convert to fraction form
    7,460.14/10,294.99 = 4,103.01/x
  3. Step 3: Cross multiply
    7,460.14x = 10,294.99 × 4,103.01
  4. Step 4: Simplify right side
    7,460.14x = 42,240,421.18
  5. Step 5: Solve for x
    x = 42,240,421.18/7,460.14
  6. Step 6: Final answer
    x = 5,662.15

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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.