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Finding the Fourth Proportional to 7,284.42, 10,051.97 and 4,140

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Solution

The fourth proportional to 7,284.42, 10,051.97 and 4,140 is: 5,712.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,284.42 : 10,051.97 = 4,140 : x
  2. Step 2: Convert to fraction form
    7,284.42/10,051.97 = 4,140/x
  3. Step 3: Cross multiply
    7,284.42x = 10,051.97 × 4,140
  4. Step 4: Simplify right side
    7,284.42x = 41,615,135.10
  5. Step 5: Solve for x
    x = 41,615,135.10/7,284.42
  6. Step 6: Final answer
    x = 5,712.90

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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.