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Finding the Fourth Proportional to 11,428.14, 15,770.94 and 6,712.50

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Solution

The fourth proportional to 11,428.14, 15,770.94 and 6,712.50 is: 9,263.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,428.14 : 15,770.94 = 6,712.50 : x
  2. Step 2: Convert to fraction form
    11,428.14/15,770.94 = 6,712.50/x
  3. Step 3: Cross multiply
    11,428.14x = 15,770.94 × 6,712.50
  4. Step 4: Simplify right side
    11,428.14x = 105,862,434.75
  5. Step 5: Solve for x
    x = 105,862,434.75/11,428.14
  6. Step 6: Final answer
    x = 9,263.31

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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.