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Finding the Fourth Proportional to 10,038.85, 13,849.23 and 7,056.61

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Solution

The fourth proportional to 10,038.85, 13,849.23 and 7,056.61 is: 9,735.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,038.85 : 13,849.23 = 7,056.61 : x
  2. Step 2: Convert to fraction form
    10,038.85/13,849.23 = 7,056.61/x
  3. Step 3: Cross multiply
    10,038.85x = 13,849.23 × 7,056.61
  4. Step 4: Simplify right side
    10,038.85x = 97,728,614.91
  5. Step 5: Solve for x
    x = 97,728,614.91/10,038.85
  6. Step 6: Final answer
    x = 9,735.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.