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Finding the Fourth Proportional to 8,358.34, 11,534.69 and 4,581.78

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Solution

The fourth proportional to 8,358.34, 11,534.69 and 4,581.78 is: 6,322.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,358.34 : 11,534.69 = 4,581.78 : x
  2. Step 2: Convert to fraction form
    8,358.34/11,534.69 = 4,581.78/x
  3. Step 3: Cross multiply
    8,358.34x = 11,534.69 × 4,581.78
  4. Step 4: Simplify right side
    8,358.34x = 52,849,411.95
  5. Step 5: Solve for x
    x = 52,849,411.95/8,358.34
  6. Step 6: Final answer
    x = 6,322.96

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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.