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Finding the Fourth Proportional to 10,526.80, 15,782.10 and 5,909.80

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Solution

The fourth proportional to 10,526.80, 15,782.10 and 5,909.80 is: 8,860.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,526.80 : 15,782.10 = 5,909.80 : x
  2. Step 2: Convert to fraction form
    10,526.80/15,782.10 = 5,909.80/x
  3. Step 3: Cross multiply
    10,526.80x = 15,782.10 × 5,909.80
  4. Step 4: Simplify right side
    10,526.80x = 93,269,054.58
  5. Step 5: Solve for x
    x = 93,269,054.58/10,526.80
  6. Step 6: Final answer
    x = 8,860.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.