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Finding the Fourth Proportional to 10,106.49, 13,938.71 and 8,485.14

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Solution

The fourth proportional to 10,106.49, 13,938.71 and 8,485.14 is: 11,702.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,106.49 : 13,938.71 = 8,485.14 : x
  2. Step 2: Convert to fraction form
    10,106.49/13,938.71 = 8,485.14/x
  3. Step 3: Cross multiply
    10,106.49x = 13,938.71 × 8,485.14
  4. Step 4: Simplify right side
    10,106.49x = 118,271,863.34
  5. Step 5: Solve for x
    x = 118,271,863.34/10,106.49
  6. Step 6: Final answer
    x = 11,702.57

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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.