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Finding the Fourth Proportional to 10,291.14, 15,428.07 and 6,994.98

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Solution

The fourth proportional to 10,291.14, 15,428.07 and 6,994.98 is: 10,486.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,291.14 : 15,428.07 = 6,994.98 : x
  2. Step 2: Convert to fraction form
    10,291.14/15,428.07 = 6,994.98/x
  3. Step 3: Cross multiply
    10,291.14x = 15,428.07 × 6,994.98
  4. Step 4: Simplify right side
    10,291.14x = 107,919,041.09
  5. Step 5: Solve for x
    x = 107,919,041.09/10,291.14
  6. Step 6: Final answer
    x = 10,486.60

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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.