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Finding the Fourth Proportional to 10,476.75, 14,457.93 and 5,760.93

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Solution

The fourth proportional to 10,476.75, 14,457.93 and 5,760.93 is: 7,950.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,476.75 : 14,457.93 = 5,760.93 : x
  2. Step 2: Convert to fraction form
    10,476.75/14,457.93 = 5,760.93/x
  3. Step 3: Cross multiply
    10,476.75x = 14,457.93 × 5,760.93
  4. Step 4: Simplify right side
    10,476.75x = 83,291,122.67
  5. Step 5: Solve for x
    x = 83,291,122.67/10,476.75
  6. Step 6: Final answer
    x = 7,950.09

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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.