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Finding the Fourth Proportional to 7,185.72, 9,922.53 and 5,300.58

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Solution

The fourth proportional to 7,185.72, 9,922.53 and 5,300.58 is: 7,319.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,185.72 : 9,922.53 = 5,300.58 : x
  2. Step 2: Convert to fraction form
    7,185.72/9,922.53 = 5,300.58/x
  3. Step 3: Cross multiply
    7,185.72x = 9,922.53 × 5,300.58
  4. Step 4: Simplify right side
    7,185.72x = 52,595,164.07
  5. Step 5: Solve for x
    x = 52,595,164.07/7,185.72
  6. Step 6: Final answer
    x = 7,319.40

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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.