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Finding the Fourth Proportional to 8,955.34, 13,429.50 and 5,258.50

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Solution

The fourth proportional to 8,955.34, 13,429.50 and 5,258.50 is: 7,885.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,955.34 : 13,429.50 = 5,258.50 : x
  2. Step 2: Convert to fraction form
    8,955.34/13,429.50 = 5,258.50/x
  3. Step 3: Cross multiply
    8,955.34x = 13,429.50 × 5,258.50
  4. Step 4: Simplify right side
    8,955.34x = 70,619,025.75
  5. Step 5: Solve for x
    x = 70,619,025.75/8,955.34
  6. Step 6: Final answer
    x = 7,885.69

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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.