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Finding the Fourth Proportional to 7,357.23, 10,148.49 and 4,703.67

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Solution

The fourth proportional to 7,357.23, 10,148.49 and 4,703.67 is: 6,488.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,357.23 : 10,148.49 = 4,703.67 : x
  2. Step 2: Convert to fraction form
    7,357.23/10,148.49 = 4,703.67/x
  3. Step 3: Cross multiply
    7,357.23x = 10,148.49 × 4,703.67
  4. Step 4: Simplify right side
    7,357.23x = 47,735,147.96
  5. Step 5: Solve for x
    x = 47,735,147.96/7,357.23
  6. Step 6: Final answer
    x = 6,488.20

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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.