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Finding the Fourth Proportional to 10,417.90, 14,361.72 and 7,428.54

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Solution

The fourth proportional to 10,417.90, 14,361.72 and 7,428.54 is: 10,240.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,417.90 : 14,361.72 = 7,428.54 : x
  2. Step 2: Convert to fraction form
    10,417.90/14,361.72 = 7,428.54/x
  3. Step 3: Cross multiply
    10,417.90x = 14,361.72 × 7,428.54
  4. Step 4: Simplify right side
    10,417.90x = 106,686,611.49
  5. Step 5: Solve for x
    x = 106,686,611.49/10,417.90
  6. Step 6: Final answer
    x = 10,240.70

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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.