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Finding the Fourth Proportional to 10,038.83, 15,085.49 and 5,362.10

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Solution

The fourth proportional to 10,038.83, 15,085.49 and 5,362.10 is: 8,057.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,038.83 : 15,085.49 = 5,362.10 : x
  2. Step 2: Convert to fraction form
    10,038.83/15,085.49 = 5,362.10/x
  3. Step 3: Cross multiply
    10,038.83x = 15,085.49 × 5,362.10
  4. Step 4: Simplify right side
    10,038.83x = 80,889,803.69
  5. Step 5: Solve for x
    x = 80,889,803.69/10,038.83
  6. Step 6: Final answer
    x = 8,057.69

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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.