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Finding the Fourth Proportional to 10,152.36, 14,014.06 and 7,641.72

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Solution

The fourth proportional to 10,152.36, 14,014.06 and 7,641.72 is: 10,548.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,152.36 : 14,014.06 = 7,641.72 : x
  2. Step 2: Convert to fraction form
    10,152.36/14,014.06 = 7,641.72/x
  3. Step 3: Cross multiply
    10,152.36x = 14,014.06 × 7,641.72
  4. Step 4: Simplify right side
    10,152.36x = 107,091,414.30
  5. Step 5: Solve for x
    x = 107,091,414.30/10,152.36
  6. Step 6: Final answer
    x = 10,548.43

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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.