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Finding the Fourth Proportional to 11,529.64, 15,911.00 and 6,492.86

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Solution

The fourth proportional to 11,529.64, 15,911.00 and 6,492.86 is: 8,960.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,529.64 : 15,911.00 = 6,492.86 : x
  2. Step 2: Convert to fraction form
    11,529.64/15,911.00 = 6,492.86/x
  3. Step 3: Cross multiply
    11,529.64x = 15,911.00 × 6,492.86
  4. Step 4: Simplify right side
    11,529.64x = 103,307,867.46
  5. Step 5: Solve for x
    x = 103,307,867.46/11,529.64
  6. Step 6: Final answer
    x = 8,960.20

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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.