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Finding the Fourth Proportional to 10,457.63, 15,691.82 and 6,950.06

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Solution

The fourth proportional to 10,457.63, 15,691.82 and 6,950.06 is: 10,428.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,457.63 : 15,691.82 = 6,950.06 : x
  2. Step 2: Convert to fraction form
    10,457.63/15,691.82 = 6,950.06/x
  3. Step 3: Cross multiply
    10,457.63x = 15,691.82 × 6,950.06
  4. Step 4: Simplify right side
    10,457.63x = 109,059,090.51
  5. Step 5: Solve for x
    x = 109,059,090.51/10,457.63
  6. Step 6: Final answer
    x = 10,428.66

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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.