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Finding the Fourth Proportional to 10,476.19, 14,457.04 and 5,760.37

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Solution

The fourth proportional to 10,476.19, 14,457.04 and 5,760.37 is: 7,949.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,476.19 : 14,457.04 = 5,760.37 : x
  2. Step 2: Convert to fraction form
    10,476.19/14,457.04 = 5,760.37/x
  3. Step 3: Cross multiply
    10,476.19x = 14,457.04 × 5,760.37
  4. Step 4: Simplify right side
    10,476.19x = 83,277,899.50
  5. Step 5: Solve for x
    x = 83,277,899.50/10,476.19
  6. Step 6: Final answer
    x = 7,949.25

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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.