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Finding the Fourth Proportional to 7,257.50, 10,009.70 and 4,866.68

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Solution

The fourth proportional to 7,257.50, 10,009.70 and 4,866.68 is: 6,712.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,257.50 : 10,009.70 = 4,866.68 : x
  2. Step 2: Convert to fraction form
    7,257.50/10,009.70 = 4,866.68/x
  3. Step 3: Cross multiply
    7,257.50x = 10,009.70 × 4,866.68
  4. Step 4: Simplify right side
    7,257.50x = 48,713,932.41
  5. Step 5: Solve for x
    x = 48,713,932.41/7,257.50
  6. Step 6: Final answer
    x = 6,712.22

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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.