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Finding the Fourth Proportional to 10,417.80, 14,361.62 and 7,428.45

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Solution

The fourth proportional to 10,417.80, 14,361.62 and 7,428.45 is: 10,240.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,417.80 : 14,361.62 = 7,428.45 : x
  2. Step 2: Convert to fraction form
    10,417.80/14,361.62 = 7,428.45/x
  3. Step 3: Cross multiply
    10,417.80x = 14,361.62 × 7,428.45
  4. Step 4: Simplify right side
    10,417.80x = 106,684,576.09
  5. Step 5: Solve for x
    x = 106,684,576.09/10,417.80
  6. Step 6: Final answer
    x = 10,240.61

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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.