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Finding the Fourth Proportional to 7,148.20, 9,864.59 and 4,004.38

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Solution

The fourth proportional to 7,148.20, 9,864.59 and 4,004.38 is: 5,526.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,148.20 : 9,864.59 = 4,004.38 : x
  2. Step 2: Convert to fraction form
    7,148.20/9,864.59 = 4,004.38/x
  3. Step 3: Cross multiply
    7,148.20x = 9,864.59 × 4,004.38
  4. Step 4: Simplify right side
    7,148.20x = 39,501,566.90
  5. Step 5: Solve for x
    x = 39,501,566.90/7,148.20
  6. Step 6: Final answer
    x = 5,526.09

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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.