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Finding the Fourth Proportional to 10,695.34, 16,038.90 and 3,674.04

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Solution

The fourth proportional to 10,695.34, 16,038.90 and 3,674.04 is: 5,509.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,695.34 : 16,038.90 = 3,674.04 : x
  2. Step 2: Convert to fraction form
    10,695.34/16,038.90 = 3,674.04/x
  3. Step 3: Cross multiply
    10,695.34x = 16,038.90 × 3,674.04
  4. Step 4: Simplify right side
    10,695.34x = 58,927,560.16
  5. Step 5: Solve for x
    x = 58,927,560.16/10,695.34
  6. Step 6: Final answer
    x = 5,509.65

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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.