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Finding the Fourth Proportional to 10,195.71, 15,260.74 and 5,258.55

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Solution

The fourth proportional to 10,195.71, 15,260.74 and 5,258.55 is: 7,870.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,195.71 : 15,260.74 = 5,258.55 : x
  2. Step 2: Convert to fraction form
    10,195.71/15,260.74 = 5,258.55/x
  3. Step 3: Cross multiply
    10,195.71x = 15,260.74 × 5,258.55
  4. Step 4: Simplify right side
    10,195.71x = 80,249,408.41
  5. Step 5: Solve for x
    x = 80,249,408.41/10,195.71
  6. Step 6: Final answer
    x = 7,870.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.