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Finding the Fourth Proportional to 10,661.55, 14,709.08 and 6,182.84

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Solution

The fourth proportional to 10,661.55, 14,709.08 and 6,182.84 is: 8,530.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,661.55 : 14,709.08 = 6,182.84 : x
  2. Step 2: Convert to fraction form
    10,661.55/14,709.08 = 6,182.84/x
  3. Step 3: Cross multiply
    10,661.55x = 14,709.08 × 6,182.84
  4. Step 4: Simplify right side
    10,661.55x = 90,943,888.19
  5. Step 5: Solve for x
    x = 90,943,888.19/10,661.55
  6. Step 6: Final answer
    x = 8,530.08

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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.