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Finding the Fourth Proportional to 7,609.01, 11,405.14 and 4,975.43

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Solution

The fourth proportional to 7,609.01, 11,405.14 and 4,975.43 is: 7,457.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,609.01 : 11,405.14 = 4,975.43 : x
  2. Step 2: Convert to fraction form
    7,609.01/11,405.14 = 4,975.43/x
  3. Step 3: Cross multiply
    7,609.01x = 11,405.14 × 4,975.43
  4. Step 4: Simplify right side
    7,609.01x = 56,745,475.71
  5. Step 5: Solve for x
    x = 56,745,475.71/7,609.01
  6. Step 6: Final answer
    x = 7,457.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.