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Finding the Fourth Proportional to 10,562.89, 14,577.02 and 5,783.03

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Solution

The fourth proportional to 10,562.89, 14,577.02 and 5,783.03 is: 7,980.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,562.89 : 14,577.02 = 5,783.03 : x
  2. Step 2: Convert to fraction form
    10,562.89/14,577.02 = 5,783.03/x
  3. Step 3: Cross multiply
    10,562.89x = 14,577.02 × 5,783.03
  4. Step 4: Simplify right side
    10,562.89x = 84,299,393.42
  5. Step 5: Solve for x
    x = 84,299,393.42/10,562.89
  6. Step 6: Final answer
    x = 7,980.71

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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.