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Finding the Fourth Proportional to 10,476.66, 14,457.99 and 5,760.91

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Solution

The fourth proportional to 10,476.66, 14,457.99 and 5,760.91 is: 7,950.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,476.66 : 14,457.99 = 5,760.91 : x
  2. Step 2: Convert to fraction form
    10,476.66/14,457.99 = 5,760.91/x
  3. Step 3: Cross multiply
    10,476.66x = 14,457.99 × 5,760.91
  4. Step 4: Simplify right side
    10,476.66x = 83,291,179.17
  5. Step 5: Solve for x
    x = 83,291,179.17/10,476.66
  6. Step 6: Final answer
    x = 7,950.17

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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.