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Finding the Fourth Proportional to 10,555.36, 15,828.16 and 5,938.36

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Solution

The fourth proportional to 10,555.36, 15,828.16 and 5,938.36 is: 8,904.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,555.36 : 15,828.16 = 5,938.36 : x
  2. Step 2: Convert to fraction form
    10,555.36/15,828.16 = 5,938.36/x
  3. Step 3: Cross multiply
    10,555.36x = 15,828.16 × 5,938.36
  4. Step 4: Simplify right side
    10,555.36x = 93,993,312.22
  5. Step 5: Solve for x
    x = 93,993,312.22/10,555.36
  6. Step 6: Final answer
    x = 8,904.79

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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.