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Finding the Fourth Proportional to 10,523.12, 14,521.83 and 5,807.40

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Solution

The fourth proportional to 10,523.12, 14,521.83 and 5,807.40 is: 8,014.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,523.12 : 14,521.83 = 5,807.40 : x
  2. Step 2: Convert to fraction form
    10,523.12/14,521.83 = 5,807.40/x
  3. Step 3: Cross multiply
    10,523.12x = 14,521.83 × 5,807.40
  4. Step 4: Simplify right side
    10,523.12x = 84,334,031.97
  5. Step 5: Solve for x
    x = 84,334,031.97/10,523.12
  6. Step 6: Final answer
    x = 8,014.17

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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.