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Finding the Fourth Proportional to 10,610.78, 14,627.67 and 7,457.18

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Solution

The fourth proportional to 10,610.78, 14,627.67 and 7,457.18 is: 10,280.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,610.78 : 14,627.67 = 7,457.18 : x
  2. Step 2: Convert to fraction form
    10,610.78/14,627.67 = 7,457.18/x
  3. Step 3: Cross multiply
    10,610.78x = 14,627.67 × 7,457.18
  4. Step 4: Simplify right side
    10,610.78x = 109,081,168.17
  5. Step 5: Solve for x
    x = 109,081,168.17/10,610.78
  6. Step 6: Final answer
    x = 10,280.22

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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.