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Finding the Fourth Proportional to 10,156.53, 15,239.34 and 6,457.80

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Solution

The fourth proportional to 10,156.53, 15,239.34 and 6,457.80 is: 9,689.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,156.53 : 15,239.34 = 6,457.80 : x
  2. Step 2: Convert to fraction form
    10,156.53/15,239.34 = 6,457.80/x
  3. Step 3: Cross multiply
    10,156.53x = 15,239.34 × 6,457.80
  4. Step 4: Simplify right side
    10,156.53x = 98,412,609.85
  5. Step 5: Solve for x
    x = 98,412,609.85/10,156.53
  6. Step 6: Final answer
    x = 9,689.59

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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.