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Finding the Fourth Proportional to 7,124.16, 10,693.13 and 3,428.94

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Solution

The fourth proportional to 7,124.16, 10,693.13 and 3,428.94 is: 5,146.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,124.16 : 10,693.13 = 3,428.94 : x
  2. Step 2: Convert to fraction form
    7,124.16/10,693.13 = 3,428.94/x
  3. Step 3: Cross multiply
    7,124.16x = 10,693.13 × 3,428.94
  4. Step 4: Simplify right side
    7,124.16x = 36,666,101.18
  5. Step 5: Solve for x
    x = 36,666,101.18/7,124.16
  6. Step 6: Final answer
    x = 5,146.73

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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.