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Finding the Fourth Proportional to 11,256.10, 16,859.85 and 9,312.10

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Solution

The fourth proportional to 11,256.10, 16,859.85 and 9,312.10 is: 13,948.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,256.10 : 16,859.85 = 9,312.10 : x
  2. Step 2: Convert to fraction form
    11,256.10/16,859.85 = 9,312.10/x
  3. Step 3: Cross multiply
    11,256.10x = 16,859.85 × 9,312.10
  4. Step 4: Simplify right side
    11,256.10x = 157,000,609.19
  5. Step 5: Solve for x
    x = 157,000,609.19/11,256.10
  6. Step 6: Final answer
    x = 13,948.05

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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.