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Finding the Fourth Proportional to 10,742.53, 14,829.71 and 7,163.46

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Solution

The fourth proportional to 10,742.53, 14,829.71 and 7,163.46 is: 9,888.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,742.53 : 14,829.71 = 7,163.46 : x
  2. Step 2: Convert to fraction form
    10,742.53/14,829.71 = 7,163.46/x
  3. Step 3: Cross multiply
    10,742.53x = 14,829.71 × 7,163.46
  4. Step 4: Simplify right side
    10,742.53x = 106,232,034.40
  5. Step 5: Solve for x
    x = 106,232,034.40/10,742.53
  6. Step 6: Final answer
    x = 9,888.92

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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.