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Finding the Fourth Proportional to 7,617.77, 11,417.16 and 4,099.04

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Solution

The fourth proportional to 7,617.77, 11,417.16 and 4,099.04 is: 6,143.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,617.77 : 11,417.16 = 4,099.04 : x
  2. Step 2: Convert to fraction form
    7,617.77/11,417.16 = 4,099.04/x
  3. Step 3: Cross multiply
    7,617.77x = 11,417.16 × 4,099.04
  4. Step 4: Simplify right side
    7,617.77x = 46,799,395.53
  5. Step 5: Solve for x
    x = 46,799,395.53/7,617.77
  6. Step 6: Final answer
    x = 6,143.45

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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.