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Finding the Fourth Proportional to 10,526.66, 14,524.85 and 5,989.08

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Solution

The fourth proportional to 10,526.66, 14,524.85 and 5,989.08 is: 8,263.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,526.66 : 14,524.85 = 5,989.08 : x
  2. Step 2: Convert to fraction form
    10,526.66/14,524.85 = 5,989.08/x
  3. Step 3: Cross multiply
    10,526.66x = 14,524.85 × 5,989.08
  4. Step 4: Simplify right side
    10,526.66x = 86,990,401.04
  5. Step 5: Solve for x
    x = 86,990,401.04/10,526.66
  6. Step 6: Final answer
    x = 8,263.82

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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.