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Finding the Fourth Proportional to 10,653.09, 15,980.37 and 3,256.98

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Solution

The fourth proportional to 10,653.09, 15,980.37 and 3,256.98 is: 4,885.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,653.09 : 15,980.37 = 3,256.98 : x
  2. Step 2: Convert to fraction form
    10,653.09/15,980.37 = 3,256.98/x
  3. Step 3: Cross multiply
    10,653.09x = 15,980.37 × 3,256.98
  4. Step 4: Simplify right side
    10,653.09x = 52,047,665.58
  5. Step 5: Solve for x
    x = 52,047,665.58/10,653.09
  6. Step 6: Final answer
    x = 4,885.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.