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Finding the Fourth Proportional to 7,548.51, 11,271.93 and 6,164.59

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Solution

The fourth proportional to 7,548.51, 11,271.93 and 6,164.59 is: 9,205.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,548.51 : 11,271.93 = 6,164.59 : x
  2. Step 2: Convert to fraction form
    7,548.51/11,271.93 = 6,164.59/x
  3. Step 3: Cross multiply
    7,548.51x = 11,271.93 × 6,164.59
  4. Step 4: Simplify right side
    7,548.51x = 69,486,822.80
  5. Step 5: Solve for x
    x = 69,486,822.80/7,548.51
  6. Step 6: Final answer
    x = 9,205.37

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.