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Finding the Fourth Proportional to 7,726.24, 10,661.64 and 4,742.20

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Solution

The fourth proportional to 7,726.24, 10,661.64 and 4,742.20 is: 6,543.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,726.24 : 10,661.64 = 4,742.20 : x
  2. Step 2: Convert to fraction form
    7,726.24/10,661.64 = 4,742.20/x
  3. Step 3: Cross multiply
    7,726.24x = 10,661.64 × 4,742.20
  4. Step 4: Simplify right side
    7,726.24x = 50,559,629.21
  5. Step 5: Solve for x
    x = 50,559,629.21/7,726.24
  6. Step 6: Final answer
    x = 6,543.89

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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.