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Finding the Fourth Proportional to 10,461.42, 14,424.08 and 7,277.31

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Solution

The fourth proportional to 10,461.42, 14,424.08 and 7,277.31 is: 10,033.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,461.42 : 14,424.08 = 7,277.31 : x
  2. Step 2: Convert to fraction form
    10,461.42/14,424.08 = 7,277.31/x
  3. Step 3: Cross multiply
    10,461.42x = 14,424.08 × 7,277.31
  4. Step 4: Simplify right side
    10,461.42x = 104,968,465.24
  5. Step 5: Solve for x
    x = 104,968,465.24/10,461.42
  6. Step 6: Final answer
    x = 10,033.86

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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.