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Finding the Fourth Proportional to 7,130.07, 9,840.03 and 3,986.07

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Solution

The fourth proportional to 7,130.07, 9,840.03 and 3,986.07 is: 5,501.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,130.07 : 9,840.03 = 3,986.07 : x
  2. Step 2: Convert to fraction form
    7,130.07/9,840.03 = 3,986.07/x
  3. Step 3: Cross multiply
    7,130.07x = 9,840.03 × 3,986.07
  4. Step 4: Simplify right side
    7,130.07x = 39,223,048.38
  5. Step 5: Solve for x
    x = 39,223,048.38/7,130.07
  6. Step 6: Final answer
    x = 5,501.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.