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Finding the Fourth Proportional to 11,258.10, 16,862.85 and 9,314.10

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Solution

The fourth proportional to 11,258.10, 16,862.85 and 9,314.10 is: 13,951.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,258.10 : 16,862.85 = 9,314.10 : x
  2. Step 2: Convert to fraction form
    11,258.10/16,862.85 = 9,314.10/x
  3. Step 3: Cross multiply
    11,258.10x = 16,862.85 × 9,314.10
  4. Step 4: Simplify right side
    11,258.10x = 157,062,271.19
  5. Step 5: Solve for x
    x = 157,062,271.19/11,258.10
  6. Step 6: Final answer
    x = 13,951.05

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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.