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Finding the Fourth Proportional to 10,181.40, 15,242.93 and 6,259.38

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Solution

The fourth proportional to 10,181.40, 15,242.93 and 6,259.38 is: 9,371.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,181.40 : 15,242.93 = 6,259.38 : x
  2. Step 2: Convert to fraction form
    10,181.40/15,242.93 = 6,259.38/x
  3. Step 3: Cross multiply
    10,181.40x = 15,242.93 × 6,259.38
  4. Step 4: Simplify right side
    10,181.40x = 95,411,261.41
  5. Step 5: Solve for x
    x = 95,411,261.41/10,181.40
  6. Step 6: Final answer
    x = 9,371.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.