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Finding the Fourth Proportional to 10,259.40, 15,389.10 and 7,331.40

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Solution

The fourth proportional to 10,259.40, 15,389.10 and 7,331.40 is: 10,997.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,259.40 : 15,389.10 = 7,331.40 : x
  2. Step 2: Convert to fraction form
    10,259.40/15,389.10 = 7,331.40/x
  3. Step 3: Cross multiply
    10,259.40x = 15,389.10 × 7,331.40
  4. Step 4: Simplify right side
    10,259.40x = 112,823,647.74
  5. Step 5: Solve for x
    x = 112,823,647.74/10,259.40
  6. Step 6: Final answer
    x = 10,997.10

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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.