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Finding the Fourth Proportional to 7,365.75, 10,164.51 and 5,384.67

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Solution

The fourth proportional to 7,365.75, 10,164.51 and 5,384.67 is: 7,430.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,365.75 : 10,164.51 = 5,384.67 : x
  2. Step 2: Convert to fraction form
    7,365.75/10,164.51 = 5,384.67/x
  3. Step 3: Cross multiply
    7,365.75x = 10,164.51 × 5,384.67
  4. Step 4: Simplify right side
    7,365.75x = 54,732,532.06
  5. Step 5: Solve for x
    x = 54,732,532.06/7,365.75
  6. Step 6: Final answer
    x = 7,430.68

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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.