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Finding the Fourth Proportional to 11,457.49, 15,812.13 and 6,422.14

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Solution

The fourth proportional to 11,457.49, 15,812.13 and 6,422.14 is: 8,863.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,457.49 : 15,812.13 = 6,422.14 : x
  2. Step 2: Convert to fraction form
    11,457.49/15,812.13 = 6,422.14/x
  3. Step 3: Cross multiply
    11,457.49x = 15,812.13 × 6,422.14
  4. Step 4: Simplify right side
    11,457.49x = 101,547,712.56
  5. Step 5: Solve for x
    x = 101,547,712.56/11,457.49
  6. Step 6: Final answer
    x = 8,863.00

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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.