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Finding the Fourth Proportional to 8,302.34, 11,458.93 and 4,947.12

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Solution

The fourth proportional to 8,302.34, 11,458.93 and 4,947.12 is: 6,828.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,302.34 : 11,458.93 = 4,947.12 : x
  2. Step 2: Convert to fraction form
    8,302.34/11,458.93 = 4,947.12/x
  3. Step 3: Cross multiply
    8,302.34x = 11,458.93 × 4,947.12
  4. Step 4: Simplify right side
    8,302.34x = 56,688,701.78
  5. Step 5: Solve for x
    x = 56,688,701.78/8,302.34
  6. Step 6: Final answer
    x = 6,828.04

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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.