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Finding the Fourth Proportional to 10,066.44, 15,093 and 4,802.27

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Solution

The fourth proportional to 10,066.44, 15,093 and 4,802.27 is: 7,200.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,066.44 : 15,093 = 4,802.27 : x
  2. Step 2: Convert to fraction form
    10,066.44/15,093 = 4,802.27/x
  3. Step 3: Cross multiply
    10,066.44x = 15,093 × 4,802.27
  4. Step 4: Simplify right side
    10,066.44x = 72,480,606.87
  5. Step 5: Solve for x
    x = 72,480,606.87/10,066.44
  6. Step 6: Final answer
    x = 7,200.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.