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Finding the Fourth Proportional to 10,485.44, 14,475.90 and 6,953.46

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Solution

The fourth proportional to 10,485.44, 14,475.90 and 6,953.46 is: 9,599.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,485.44 : 14,475.90 = 6,953.46 : x
  2. Step 2: Convert to fraction form
    10,485.44/14,475.90 = 6,953.46/x
  3. Step 3: Cross multiply
    10,485.44x = 14,475.90 × 6,953.46
  4. Step 4: Simplify right side
    10,485.44x = 100,657,591.61
  5. Step 5: Solve for x
    x = 100,657,591.61/10,485.44
  6. Step 6: Final answer
    x = 9,599.75

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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.