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Finding the Fourth Proportional to 10,142.16, 14,000.04 and 7,631.58

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Solution

The fourth proportional to 10,142.16, 14,000.04 and 7,631.58 is: 10,534.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,142.16 : 14,000.04 = 7,631.58 : x
  2. Step 2: Convert to fraction form
    10,142.16/14,000.04 = 7,631.58/x
  3. Step 3: Cross multiply
    10,142.16x = 14,000.04 × 7,631.58
  4. Step 4: Simplify right side
    10,142.16x = 106,842,425.26
  5. Step 5: Solve for x
    x = 106,842,425.26/10,142.16
  6. Step 6: Final answer
    x = 10,534.48

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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.