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Finding the Fourth Proportional to 12,492.64, 18,729.69 and 7,561.11

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Solution

The fourth proportional to 12,492.64, 18,729.69 and 7,561.11 is: 11,336.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,492.64 : 18,729.69 = 7,561.11 : x
  2. Step 2: Convert to fraction form
    12,492.64/18,729.69 = 7,561.11/x
  3. Step 3: Cross multiply
    12,492.64x = 18,729.69 × 7,561.11
  4. Step 4: Simplify right side
    12,492.64x = 141,617,152.71
  5. Step 5: Solve for x
    x = 141,617,152.71/12,492.64
  6. Step 6: Final answer
    x = 11,336.05

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