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Finding the Fourth Proportional to 10,476.36, 14,457.78 and 6,000.12

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Solution

The fourth proportional to 10,476.36, 14,457.78 and 6,000.12 is: 8,280.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,476.36 : 14,457.78 = 6,000.12 : x
  2. Step 2: Convert to fraction form
    10,476.36/14,457.78 = 6,000.12/x
  3. Step 3: Cross multiply
    10,476.36x = 14,457.78 × 6,000.12
  4. Step 4: Simplify right side
    10,476.36x = 86,748,414.93
  5. Step 5: Solve for x
    x = 86,748,414.93/10,476.36
  6. Step 6: Final answer
    x = 8,280.40

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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.