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Finding the Fourth Proportional to 10,252.56, 14,156.64 and 7,628.16

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Solution

The fourth proportional to 10,252.56, 14,156.64 and 7,628.16 is: 10,532.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,252.56 : 14,156.64 = 7,628.16 : x
  2. Step 2: Convert to fraction form
    10,252.56/14,156.64 = 7,628.16/x
  3. Step 3: Cross multiply
    10,252.56x = 14,156.64 × 7,628.16
  4. Step 4: Simplify right side
    10,252.56x = 107,989,114.98
  5. Step 5: Solve for x
    x = 107,989,114.98/10,252.56
  6. Step 6: Final answer
    x = 10,532.89

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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.