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Finding the Fourth Proportional to 7,352.51, 10,148.54 and 6,029.38

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Solution

The fourth proportional to 7,352.51, 10,148.54 and 6,029.38 is: 8,322.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,352.51 : 10,148.54 = 6,029.38 : x
  2. Step 2: Convert to fraction form
    7,352.51/10,148.54 = 6,029.38/x
  3. Step 3: Cross multiply
    7,352.51x = 10,148.54 × 6,029.38
  4. Step 4: Simplify right side
    7,352.51x = 61,189,348.59
  5. Step 5: Solve for x
    x = 61,189,348.59/7,352.51
  6. Step 6: Final answer
    x = 8,322.24

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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.