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Finding the Fourth Proportional to 7,648.42, 10,554.72 and 4,292.08

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Solution

The fourth proportional to 7,648.42, 10,554.72 and 4,292.08 is: 5,923.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,648.42 : 10,554.72 = 4,292.08 : x
  2. Step 2: Convert to fraction form
    7,648.42/10,554.72 = 4,292.08/x
  3. Step 3: Cross multiply
    7,648.42x = 10,554.72 × 4,292.08
  4. Step 4: Simplify right side
    7,648.42x = 45,301,702.62
  5. Step 5: Solve for x
    x = 45,301,702.62/7,648.42
  6. Step 6: Final answer
    x = 5,923.01

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