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Finding the Fourth Proportional to 7,258.40, 10,021.20 and 4,464.80

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Solution

The fourth proportional to 7,258.40, 10,021.20 and 4,464.80 is: 6,164.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,258.40 : 10,021.20 = 4,464.80 : x
  2. Step 2: Convert to fraction form
    7,258.40/10,021.20 = 4,464.80/x
  3. Step 3: Cross multiply
    7,258.40x = 10,021.20 × 4,464.80
  4. Step 4: Simplify right side
    7,258.40x = 44,742,653.76
  5. Step 5: Solve for x
    x = 44,742,653.76/7,258.40
  6. Step 6: Final answer
    x = 6,164.26

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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.