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Finding the Fourth Proportional to 10,580.69, 14,594.40 and 6,797.90

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Solution

The fourth proportional to 10,580.69, 14,594.40 and 6,797.90 is: 9,376.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,580.69 : 14,594.40 = 6,797.90 : x
  2. Step 2: Convert to fraction form
    10,580.69/14,594.40 = 6,797.90/x
  3. Step 3: Cross multiply
    10,580.69x = 14,594.40 × 6,797.90
  4. Step 4: Simplify right side
    10,580.69x = 99,211,308.25
  5. Step 5: Solve for x
    x = 99,211,308.25/10,580.69
  6. Step 6: Final answer
    x = 9,376.64

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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.