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Finding the Fourth Proportional to 10,476.08, 14,457 and 5,760.72

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Solution

The fourth proportional to 10,476.08, 14,457 and 5,760.72 is: 7,949.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,476.08 : 14,457 = 5,760.72 : x
  2. Step 2: Convert to fraction form
    10,476.08/14,457 = 5,760.72/x
  3. Step 3: Cross multiply
    10,476.08x = 14,457 × 5,760.72
  4. Step 4: Simplify right side
    10,476.08x = 83,282,729.04
  5. Step 5: Solve for x
    x = 83,282,729.04/10,476.08
  6. Step 6: Final answer
    x = 7,949.80

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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.