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Finding the Fourth Proportional to 10,178.68, 14,038.68 and 6,820.42

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Solution

The fourth proportional to 10,178.68, 14,038.68 and 6,820.42 is: 9,406.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,178.68 : 14,038.68 = 6,820.42 : x
  2. Step 2: Convert to fraction form
    10,178.68/14,038.68 = 6,820.42/x
  3. Step 3: Cross multiply
    10,178.68x = 14,038.68 × 6,820.42
  4. Step 4: Simplify right side
    10,178.68x = 95,749,693.85
  5. Step 5: Solve for x
    x = 95,749,693.85/10,178.68
  6. Step 6: Final answer
    x = 9,406.89

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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.