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Finding the Fourth Proportional to 7,489.74, 10,335.44 and 4,303.20

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Solution

The fourth proportional to 7,489.74, 10,335.44 and 4,303.20 is: 5,938.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,489.74 : 10,335.44 = 4,303.20 : x
  2. Step 2: Convert to fraction form
    7,489.74/10,335.44 = 4,303.20/x
  3. Step 3: Cross multiply
    7,489.74x = 10,335.44 × 4,303.20
  4. Step 4: Simplify right side
    7,489.74x = 44,475,465.41
  5. Step 5: Solve for x
    x = 44,475,465.41/7,489.74
  6. Step 6: Final answer
    x = 5,938.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.