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Finding the Fourth Proportional to 10,549.55, 14,558.69 and 5,769.77

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Solution

The fourth proportional to 10,549.55, 14,558.69 and 5,769.77 is: 7,962.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,549.55 : 14,558.69 = 5,769.77 : x
  2. Step 2: Convert to fraction form
    10,549.55/14,558.69 = 5,769.77/x
  3. Step 3: Cross multiply
    10,549.55x = 14,558.69 × 5,769.77
  4. Step 4: Simplify right side
    10,549.55x = 84,000,263.95
  5. Step 5: Solve for x
    x = 84,000,263.95/10,549.55
  6. Step 6: Final answer
    x = 7,962.45

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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.