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Finding the Fourth Proportional to 10,532.70, 14,536.08 and 5,818.50

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Solution

The fourth proportional to 10,532.70, 14,536.08 and 5,818.50 is: 8,030.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,532.70 : 14,536.08 = 5,818.50 : x
  2. Step 2: Convert to fraction form
    10,532.70/14,536.08 = 5,818.50/x
  3. Step 3: Cross multiply
    10,532.70x = 14,536.08 × 5,818.50
  4. Step 4: Simplify right side
    10,532.70x = 84,578,181.48
  5. Step 5: Solve for x
    x = 84,578,181.48/10,532.70
  6. Step 6: Final answer
    x = 8,030.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.