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Finding the Fourth Proportional to 7,507.45, 10,365.23 and 5,802.81

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Solution

The fourth proportional to 7,507.45, 10,365.23 and 5,802.81 is: 8,011.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,507.45 : 10,365.23 = 5,802.81 : x
  2. Step 2: Convert to fraction form
    7,507.45/10,365.23 = 5,802.81/x
  3. Step 3: Cross multiply
    7,507.45x = 10,365.23 × 5,802.81
  4. Step 4: Simplify right side
    7,507.45x = 60,147,435.93
  5. Step 5: Solve for x
    x = 60,147,435.93/7,507.45
  6. Step 6: Final answer
    x = 8,011.70

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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.