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Finding the Fourth Proportional to 10,047.33, 15,071.00 and 6,176.34

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Solution

The fourth proportional to 10,047.33, 15,071.00 and 6,176.34 is: 9,264.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,047.33 : 15,071.00 = 6,176.34 : x
  2. Step 2: Convert to fraction form
    10,047.33/15,071.00 = 6,176.34/x
  3. Step 3: Cross multiply
    10,047.33x = 15,071.00 × 6,176.34
  4. Step 4: Simplify right side
    10,047.33x = 93,083,589.26
  5. Step 5: Solve for x
    x = 93,083,589.26/10,047.33
  6. Step 6: Final answer
    x = 9,264.51

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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.