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Finding the Fourth Proportional to 8,430.69, 11,635.17 and 4,846.17

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Solution

The fourth proportional to 8,430.69, 11,635.17 and 4,846.17 is: 6,688.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,430.69 : 11,635.17 = 4,846.17 : x
  2. Step 2: Convert to fraction form
    8,430.69/11,635.17 = 4,846.17/x
  3. Step 3: Cross multiply
    8,430.69x = 11,635.17 × 4,846.17
  4. Step 4: Simplify right side
    8,430.69x = 56,386,011.80
  5. Step 5: Solve for x
    x = 56,386,011.80/8,430.69
  6. Step 6: Final answer
    x = 6,688.18

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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.