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Finding the Fourth Proportional to 10,473.44, 14,454 and 7,330.64

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Solution

The fourth proportional to 10,473.44, 14,454 and 7,330.64 is: 10,116.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,473.44 : 14,454 = 7,330.64 : x
  2. Step 2: Convert to fraction form
    10,473.44/14,454 = 7,330.64/x
  3. Step 3: Cross multiply
    10,473.44x = 14,454 × 7,330.64
  4. Step 4: Simplify right side
    10,473.44x = 105,957,070.56
  5. Step 5: Solve for x
    x = 105,957,070.56/10,473.44
  6. Step 6: Final answer
    x = 10,116.74

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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.