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Finding the Fourth Proportional to 7,330.50, 10,986.03 and 4,045.14

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Solution

The fourth proportional to 7,330.50, 10,986.03 and 4,045.14 is: 6,062.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,330.50 : 10,986.03 = 4,045.14 : x
  2. Step 2: Convert to fraction form
    7,330.50/10,986.03 = 4,045.14/x
  3. Step 3: Cross multiply
    7,330.50x = 10,986.03 × 4,045.14
  4. Step 4: Simplify right side
    7,330.50x = 44,440,029.39
  5. Step 5: Solve for x
    x = 44,440,029.39/7,330.50
  6. Step 6: Final answer
    x = 6,062.35

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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.