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Finding the Fourth Proportional to 10,012.94, 13,801.94 and 7,885.10

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Solution

The fourth proportional to 10,012.94, 13,801.94 and 7,885.10 is: 10,868.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,012.94 : 13,801.94 = 7,885.10 : x
  2. Step 2: Convert to fraction form
    10,012.94/13,801.94 = 7,885.10/x
  3. Step 3: Cross multiply
    10,012.94x = 13,801.94 × 7,885.10
  4. Step 4: Simplify right side
    10,012.94x = 108,829,677.09
  5. Step 5: Solve for x
    x = 108,829,677.09/10,012.94
  6. Step 6: Final answer
    x = 10,868.90

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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.