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Finding the Fourth Proportional to 10,526.64, 15,788.70 and 8,188.98

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Solution

The fourth proportional to 10,526.64, 15,788.70 and 8,188.98 is: 12,282.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,526.64 : 15,788.70 = 8,188.98 : x
  2. Step 2: Convert to fraction form
    10,526.64/15,788.70 = 8,188.98/x
  3. Step 3: Cross multiply
    10,526.64x = 15,788.70 × 8,188.98
  4. Step 4: Simplify right side
    10,526.64x = 129,293,348.53
  5. Step 5: Solve for x
    x = 129,293,348.53/10,526.64
  6. Step 6: Final answer
    x = 12,282.49

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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.