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Finding the Fourth Proportional to 10,555.84, 14,567.16 and 5,840.56

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Solution

The fourth proportional to 10,555.84, 14,567.16 and 5,840.56 is: 8,060.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,555.84 : 14,567.16 = 5,840.56 : x
  2. Step 2: Convert to fraction form
    10,555.84/14,567.16 = 5,840.56/x
  3. Step 3: Cross multiply
    10,555.84x = 14,567.16 × 5,840.56
  4. Step 4: Simplify right side
    10,555.84x = 85,080,372.01
  5. Step 5: Solve for x
    x = 85,080,372.01/10,555.84
  6. Step 6: Final answer
    x = 8,060.03

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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.