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Finding the Fourth Proportional to 7,137.54, 9,852.57 and 4,342.50

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Solution

The fourth proportional to 7,137.54, 9,852.57 and 4,342.50 is: 5,994.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,137.54 : 9,852.57 = 4,342.50 : x
  2. Step 2: Convert to fraction form
    7,137.54/9,852.57 = 4,342.50/x
  3. Step 3: Cross multiply
    7,137.54x = 9,852.57 × 4,342.50
  4. Step 4: Simplify right side
    7,137.54x = 42,784,785.23
  5. Step 5: Solve for x
    x = 42,784,785.23/7,137.54
  6. Step 6: Final answer
    x = 5,994.33

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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.