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Finding the Fourth Proportional to 7,809.59, 10,781.69 and 5,164.67

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Solution

The fourth proportional to 7,809.59, 10,781.69 and 5,164.67 is: 7,130.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,809.59 : 10,781.69 = 5,164.67 : x
  2. Step 2: Convert to fraction form
    7,809.59/10,781.69 = 5,164.67/x
  3. Step 3: Cross multiply
    7,809.59x = 10,781.69 × 5,164.67
  4. Step 4: Simplify right side
    7,809.59x = 55,683,870.89
  5. Step 5: Solve for x
    x = 55,683,870.89/7,809.59
  6. Step 6: Final answer
    x = 7,130.19

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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.