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Finding the Fourth Proportional to 7,444.71, 10,273.91 and 4,460.40

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Solution

The fourth proportional to 7,444.71, 10,273.91 and 4,460.40 is: 6,155.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,444.71 : 10,273.91 = 4,460.40 : x
  2. Step 2: Convert to fraction form
    7,444.71/10,273.91 = 4,460.40/x
  3. Step 3: Cross multiply
    7,444.71x = 10,273.91 × 4,460.40
  4. Step 4: Simplify right side
    7,444.71x = 45,825,725.86
  5. Step 5: Solve for x
    x = 45,825,725.86/7,444.71
  6. Step 6: Final answer
    x = 6,155.47

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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.