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Finding the Fourth Proportional to 10,291.27, 15,424.51 and 4,737.01

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Solution

The fourth proportional to 10,291.27, 15,424.51 and 4,737.01 is: 7,099.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,291.27 : 15,424.51 = 4,737.01 : x
  2. Step 2: Convert to fraction form
    10,291.27/15,424.51 = 4,737.01/x
  3. Step 3: Cross multiply
    10,291.27x = 15,424.51 × 4,737.01
  4. Step 4: Simplify right side
    10,291.27x = 73,066,058.12
  5. Step 5: Solve for x
    x = 73,066,058.12/10,291.27
  6. Step 6: Final answer
    x = 7,099.81

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