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Finding the Fourth Proportional to 7,562.36, 10,436.06 and 4,205.14

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Solution

The fourth proportional to 7,562.36, 10,436.06 and 4,205.14 is: 5,803.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,562.36 : 10,436.06 = 4,205.14 : x
  2. Step 2: Convert to fraction form
    7,562.36/10,436.06 = 4,205.14/x
  3. Step 3: Cross multiply
    7,562.36x = 10,436.06 × 4,205.14
  4. Step 4: Simplify right side
    7,562.36x = 43,885,077.77
  5. Step 5: Solve for x
    x = 43,885,077.77/7,562.36
  6. Step 6: Final answer
    x = 5,803.10

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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.