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Finding the Fourth Proportional to 7,538.21, 10,403.00 and 5,646.45

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Solution

The fourth proportional to 7,538.21, 10,403.00 and 5,646.45 is: 7,792.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,538.21 : 10,403.00 = 5,646.45 : x
  2. Step 2: Convert to fraction form
    7,538.21/10,403.00 = 5,646.45/x
  3. Step 3: Cross multiply
    7,538.21x = 10,403.00 × 5,646.45
  4. Step 4: Simplify right side
    7,538.21x = 58,739,991.12
  5. Step 5: Solve for x
    x = 58,739,991.12/7,538.21
  6. Step 6: Final answer
    x = 7,792.30

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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.