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Finding the Fourth Proportional to 10,476.16, 14,457.08 and 5,760.45

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Solution

The fourth proportional to 10,476.16, 14,457.08 and 5,760.45 is: 7,949.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,476.16 : 14,457.08 = 5,760.45 : x
  2. Step 2: Convert to fraction form
    10,476.16/14,457.08 = 5,760.45/x
  3. Step 3: Cross multiply
    10,476.16x = 14,457.08 × 5,760.45
  4. Step 4: Simplify right side
    10,476.16x = 83,279,300.89
  5. Step 5: Solve for x
    x = 83,279,300.89/10,476.16
  6. Step 6: Final answer
    x = 7,949.41

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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.