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Finding the Fourth Proportional to 10,576.64, 15,862.72 and 6,675.84

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Solution

The fourth proportional to 10,576.64, 15,862.72 and 6,675.84 is: 10,012.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,576.64 : 15,862.72 = 6,675.84 : x
  2. Step 2: Convert to fraction form
    10,576.64/15,862.72 = 6,675.84/x
  3. Step 3: Cross multiply
    10,576.64x = 15,862.72 × 6,675.84
  4. Step 4: Simplify right side
    10,576.64x = 105,896,980.68
  5. Step 5: Solve for x
    x = 105,896,980.68/10,576.64
  6. Step 6: Final answer
    x = 10,012.35

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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.