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Finding the Fourth Proportional to 10,140, 13,995.12 and 5,724

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Solution

The fourth proportional to 10,140, 13,995.12 and 5,724 is: 7,900.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,140 : 13,995.12 = 5,724 : x
  2. Step 2: Convert to fraction form
    10,140/13,995.12 = 5,724/x
  3. Step 3: Cross multiply
    10,140x = 13,995.12 × 5,724
  4. Step 4: Simplify right side
    10,140x = 80,108,066.88
  5. Step 5: Solve for x
    x = 80,108,066.88/10,140
  6. Step 6: Final answer
    x = 7,900.20

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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.