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Finding the Fourth Proportional to 10,584.60, 14,609.12 and 6,109.14

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Solution

The fourth proportional to 10,584.60, 14,609.12 and 6,109.14 is: 8,431.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,584.60 : 14,609.12 = 6,109.14 : x
  2. Step 2: Convert to fraction form
    10,584.60/14,609.12 = 6,109.14/x
  3. Step 3: Cross multiply
    10,584.60x = 14,609.12 × 6,109.14
  4. Step 4: Simplify right side
    10,584.60x = 89,249,159.36
  5. Step 5: Solve for x
    x = 89,249,159.36/10,584.60
  6. Step 6: Final answer
    x = 8,431.98

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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.