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Finding the Fourth Proportional to 10,096.63, 13,925.46 and 6,560.98

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Solution

The fourth proportional to 10,096.63, 13,925.46 and 6,560.98 is: 9,049.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,096.63 : 13,925.46 = 6,560.98 : x
  2. Step 2: Convert to fraction form
    10,096.63/13,925.46 = 6,560.98/x
  3. Step 3: Cross multiply
    10,096.63x = 13,925.46 × 6,560.98
  4. Step 4: Simplify right side
    10,096.63x = 91,364,664.55
  5. Step 5: Solve for x
    x = 91,364,664.55/10,096.63
  6. Step 6: Final answer
    x = 9,049.03

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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.