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Finding the Fourth Proportional to 10,459.61, 14,434.28 and 5,744.20

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Solution

The fourth proportional to 10,459.61, 14,434.28 and 5,744.20 is: 7,927.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,459.61 : 14,434.28 = 5,744.20 : x
  2. Step 2: Convert to fraction form
    10,459.61/14,434.28 = 5,744.20/x
  3. Step 3: Cross multiply
    10,459.61x = 14,434.28 × 5,744.20
  4. Step 4: Simplify right side
    10,459.61x = 82,913,391.18
  5. Step 5: Solve for x
    x = 82,913,391.18/10,459.61
  6. Step 6: Final answer
    x = 7,927.01

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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.