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Finding the Fourth Proportional to 10,476, 14,457.29 and 5,760.18

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Solution

The fourth proportional to 10,476, 14,457.29 and 5,760.18 is: 7,949.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,476 : 14,457.29 = 5,760.18 : x
  2. Step 2: Convert to fraction form
    10,476/14,457.29 = 5,760.18/x
  3. Step 3: Cross multiply
    10,476x = 14,457.29 × 5,760.18
  4. Step 4: Simplify right side
    10,476x = 83,276,563.91
  5. Step 5: Solve for x
    x = 83,276,563.91/10,476
  6. Step 6: Final answer
    x = 7,949.27

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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.