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Finding the Fourth Proportional to 10,038.96, 15,072.24 and 5,111.92

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Solution

The fourth proportional to 10,038.96, 15,072.24 and 5,111.92 is: 7,674.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,038.96 : 15,072.24 = 5,111.92 : x
  2. Step 2: Convert to fraction form
    10,038.96/15,072.24 = 5,111.92/x
  3. Step 3: Cross multiply
    10,038.96x = 15,072.24 × 5,111.92
  4. Step 4: Simplify right side
    10,038.96x = 77,048,085.10
  5. Step 5: Solve for x
    x = 77,048,085.10/10,038.96
  6. Step 6: Final answer
    x = 7,674.91

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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.