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Finding the Fourth Proportional to 11,457.10, 15,810.96 and 6,981.04

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Solution

The fourth proportional to 11,457.10, 15,810.96 and 6,981.04 is: 9,633.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,457.10 : 15,810.96 = 6,981.04 : x
  2. Step 2: Convert to fraction form
    11,457.10/15,810.96 = 6,981.04/x
  3. Step 3: Cross multiply
    11,457.10x = 15,810.96 × 6,981.04
  4. Step 4: Simplify right side
    11,457.10x = 110,376,944.20
  5. Step 5: Solve for x
    x = 110,376,944.20/11,457.10
  6. Step 6: Final answer
    x = 9,633.93

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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.