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Finding the Fourth Proportional to 8,492.51, 12,734.10 and 2,945.36

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Solution

The fourth proportional to 8,492.51, 12,734.10 and 2,945.36 is: 4,416.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,492.51 : 12,734.10 = 2,945.36 : x
  2. Step 2: Convert to fraction form
    8,492.51/12,734.10 = 2,945.36/x
  3. Step 3: Cross multiply
    8,492.51x = 12,734.10 × 2,945.36
  4. Step 4: Simplify right side
    8,492.51x = 37,506,445.11
  5. Step 5: Solve for x
    x = 37,506,445.11/8,492.51
  6. Step 6: Final answer
    x = 4,416.42

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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.