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Finding the Fourth Proportional to 10,342.02, 14,265.98 and 7,506.12

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Solution

The fourth proportional to 10,342.02, 14,265.98 and 7,506.12 is: 10,354.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,342.02 : 14,265.98 = 7,506.12 : x
  2. Step 2: Convert to fraction form
    10,342.02/14,265.98 = 7,506.12/x
  3. Step 3: Cross multiply
    10,342.02x = 14,265.98 × 7,506.12
  4. Step 4: Simplify right side
    10,342.02x = 107,082,157.80
  5. Step 5: Solve for x
    x = 107,082,157.80/10,342.02
  6. Step 6: Final answer
    x = 10,354.09

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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.