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Finding the Fourth Proportional to 10,184.49, 14,059.85 and 7,035.21

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Solution

The fourth proportional to 10,184.49, 14,059.85 and 7,035.21 is: 9,712.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,184.49 : 14,059.85 = 7,035.21 : x
  2. Step 2: Convert to fraction form
    10,184.49/14,059.85 = 7,035.21/x
  3. Step 3: Cross multiply
    10,184.49x = 14,059.85 × 7,035.21
  4. Step 4: Simplify right side
    10,184.49x = 98,913,962.14
  5. Step 5: Solve for x
    x = 98,913,962.14/10,184.49
  6. Step 6: Final answer
    x = 9,712.22

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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.