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Finding the Fourth Proportional to 11,438.02, 15,773.97 and 7,457.68

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Solution

The fourth proportional to 11,438.02, 15,773.97 and 7,457.68 is: 10,284.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,438.02 : 15,773.97 = 7,457.68 : x
  2. Step 2: Convert to fraction form
    11,438.02/15,773.97 = 7,457.68/x
  3. Step 3: Cross multiply
    11,438.02x = 15,773.97 × 7,457.68
  4. Step 4: Simplify right side
    11,438.02x = 117,637,220.59
  5. Step 5: Solve for x
    x = 117,637,220.59/11,438.02
  6. Step 6: Final answer
    x = 10,284.75

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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.