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Finding the Fourth Proportional to 7,406.10, 11,109.15 and 6,254.10

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Solution

The fourth proportional to 7,406.10, 11,109.15 and 6,254.10 is: 9,381.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,406.10 : 11,109.15 = 6,254.10 : x
  2. Step 2: Convert to fraction form
    7,406.10/11,109.15 = 6,254.10/x
  3. Step 3: Cross multiply
    7,406.10x = 11,109.15 × 6,254.10
  4. Step 4: Simplify right side
    7,406.10x = 69,477,735.02
  5. Step 5: Solve for x
    x = 69,477,735.02/7,406.10
  6. Step 6: Final answer
    x = 9,381.15

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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.