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Finding the Fourth Proportional to 10,526.45, 14,526.80 and 5,811.03

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Solution

The fourth proportional to 10,526.45, 14,526.80 and 5,811.03 is: 8,019.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,526.45 : 14,526.80 = 5,811.03 : x
  2. Step 2: Convert to fraction form
    10,526.45/14,526.80 = 5,811.03/x
  3. Step 3: Cross multiply
    10,526.45x = 14,526.80 × 5,811.03
  4. Step 4: Simplify right side
    10,526.45x = 84,415,641.55
  5. Step 5: Solve for x
    x = 84,415,641.55/10,526.45
  6. Step 6: Final answer
    x = 8,019.39

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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.