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Finding the Fourth Proportional to 10,174.81, 15,242.42 and 7,501.53

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Solution

The fourth proportional to 10,174.81, 15,242.42 and 7,501.53 is: 11,237.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,174.81 : 15,242.42 = 7,501.53 : x
  2. Step 2: Convert to fraction form
    10,174.81/15,242.42 = 7,501.53/x
  3. Step 3: Cross multiply
    10,174.81x = 15,242.42 × 7,501.53
  4. Step 4: Simplify right side
    10,174.81x = 114,341,433.39
  5. Step 5: Solve for x
    x = 114,341,433.39/10,174.81
  6. Step 6: Final answer
    x = 11,237.70

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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.