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Finding the Fourth Proportional to 10,011.42, 13,830.41 and 7,900.97

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Solution

The fourth proportional to 10,011.42, 13,830.41 and 7,900.97 is: 10,914.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,011.42 : 13,830.41 = 7,900.97 : x
  2. Step 2: Convert to fraction form
    10,011.42/13,830.41 = 7,900.97/x
  3. Step 3: Cross multiply
    10,011.42x = 13,830.41 × 7,900.97
  4. Step 4: Simplify right side
    10,011.42x = 109,273,605.10
  5. Step 5: Solve for x
    x = 109,273,605.10/10,011.42
  6. Step 6: Final answer
    x = 10,914.90

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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.