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Finding the Fourth Proportional to 10,599.82, 14,620.15 and 6,565.34

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Solution

The fourth proportional to 10,599.82, 14,620.15 and 6,565.34 is: 9,055.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,599.82 : 14,620.15 = 6,565.34 : x
  2. Step 2: Convert to fraction form
    10,599.82/14,620.15 = 6,565.34/x
  3. Step 3: Cross multiply
    10,599.82x = 14,620.15 × 6,565.34
  4. Step 4: Simplify right side
    10,599.82x = 95,986,255.60
  5. Step 5: Solve for x
    x = 95,986,255.60/10,599.82
  6. Step 6: Final answer
    x = 9,055.46

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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.