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Finding the Fourth Proportional to 7,160.58, 9,883.78 and 4,642.84

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Solution

The fourth proportional to 7,160.58, 9,883.78 and 4,642.84 is: 6,408.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,160.58 : 9,883.78 = 4,642.84 : x
  2. Step 2: Convert to fraction form
    7,160.58/9,883.78 = 4,642.84/x
  3. Step 3: Cross multiply
    7,160.58x = 9,883.78 × 4,642.84
  4. Step 4: Simplify right side
    7,160.58x = 45,888,809.14
  5. Step 5: Solve for x
    x = 45,888,809.14/7,160.58
  6. Step 6: Final answer
    x = 6,408.53

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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.