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Finding the Fourth Proportional to 11,457.64, 17,153.65 and 7,045.37

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Solution

The fourth proportional to 11,457.64, 17,153.65 and 7,045.37 is: 10,547.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,457.64 : 17,153.65 = 7,045.37 : x
  2. Step 2: Convert to fraction form
    11,457.64/17,153.65 = 7,045.37/x
  3. Step 3: Cross multiply
    11,457.64x = 17,153.65 × 7,045.37
  4. Step 4: Simplify right side
    11,457.64x = 120,853,734.14
  5. Step 5: Solve for x
    x = 120,853,734.14/11,457.64
  6. Step 6: Final answer
    x = 10,547.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.