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Finding the Fourth Proportional to 10,476.48, 14,457.84 and 6,000.48

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Solution

The fourth proportional to 10,476.48, 14,457.84 and 6,000.48 is: 8,280.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,476.48 : 14,457.84 = 6,000.48 : x
  2. Step 2: Convert to fraction form
    10,476.48/14,457.84 = 6,000.48/x
  3. Step 3: Cross multiply
    10,476.48x = 14,457.84 × 6,000.48
  4. Step 4: Simplify right side
    10,476.48x = 86,753,979.76
  5. Step 5: Solve for x
    x = 86,753,979.76/10,476.48
  6. Step 6: Final answer
    x = 8,280.83

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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.