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Finding the Fourth Proportional to 10,563.42, 14,580.78 and 6,090.18

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Solution

The fourth proportional to 10,563.42, 14,580.78 and 6,090.18 is: 8,406.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,563.42 : 14,580.78 = 6,090.18 : x
  2. Step 2: Convert to fraction form
    10,563.42/14,580.78 = 6,090.18/x
  3. Step 3: Cross multiply
    10,563.42x = 14,580.78 × 6,090.18
  4. Step 4: Simplify right side
    10,563.42x = 88,799,574.74
  5. Step 5: Solve for x
    x = 88,799,574.74/10,563.42
  6. Step 6: Final answer
    x = 8,406.33

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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.