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Finding the Fourth Proportional to 10,805.90, 14,909.88 and 6,559.19

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Solution

The fourth proportional to 10,805.90, 14,909.88 and 6,559.19 is: 9,050.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,805.90 : 14,909.88 = 6,559.19 : x
  2. Step 2: Convert to fraction form
    10,805.90/14,909.88 = 6,559.19/x
  3. Step 3: Cross multiply
    10,805.90x = 14,909.88 × 6,559.19
  4. Step 4: Simplify right side
    10,805.90x = 97,796,661.25
  5. Step 5: Solve for x
    x = 97,796,661.25/10,805.90
  6. Step 6: Final answer
    x = 9,050.31

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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.