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Finding the Fourth Proportional to 11,264.96, 16,901.76 and 4,340

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Solution

The fourth proportional to 11,264.96, 16,901.76 and 4,340 is: 6,511.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,264.96 : 16,901.76 = 4,340 : x
  2. Step 2: Convert to fraction form
    11,264.96/16,901.76 = 4,340/x
  3. Step 3: Cross multiply
    11,264.96x = 16,901.76 × 4,340
  4. Step 4: Simplify right side
    11,264.96x = 73,353,638.40
  5. Step 5: Solve for x
    x = 73,353,638.40/11,264.96
  6. Step 6: Final answer
    x = 6,511.66

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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.