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Finding the Fourth Proportional to 7,673.64, 10,589.55 and 4,316.46

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Solution

The fourth proportional to 7,673.64, 10,589.55 and 4,316.46 is: 5,956.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,673.64 : 10,589.55 = 4,316.46 : x
  2. Step 2: Convert to fraction form
    7,673.64/10,589.55 = 4,316.46/x
  3. Step 3: Cross multiply
    7,673.64x = 10,589.55 × 4,316.46
  4. Step 4: Simplify right side
    7,673.64x = 45,709,368.99
  5. Step 5: Solve for x
    x = 45,709,368.99/7,673.64
  6. Step 6: Final answer
    x = 5,956.67

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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.