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Finding the Fourth Proportional to 10,989.64, 15,166.95 and 6,211.49

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Solution

The fourth proportional to 10,989.64, 15,166.95 and 6,211.49 is: 8,572.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,989.64 : 15,166.95 = 6,211.49 : x
  2. Step 2: Convert to fraction form
    10,989.64/15,166.95 = 6,211.49/x
  3. Step 3: Cross multiply
    10,989.64x = 15,166.95 × 6,211.49
  4. Step 4: Simplify right side
    10,989.64x = 94,209,259.13
  5. Step 5: Solve for x
    x = 94,209,259.13/10,989.64
  6. Step 6: Final answer
    x = 8,572.55

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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.