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Finding the Fourth Proportional to 11,606.56, 16,017.84 and 6,570.80

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Solution

The fourth proportional to 11,606.56, 16,017.84 and 6,570.80 is: 9,068.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,606.56 : 16,017.84 = 6,570.80 : x
  2. Step 2: Convert to fraction form
    11,606.56/16,017.84 = 6,570.80/x
  3. Step 3: Cross multiply
    11,606.56x = 16,017.84 × 6,570.80
  4. Step 4: Simplify right side
    11,606.56x = 105,250,023.07
  5. Step 5: Solve for x
    x = 105,250,023.07/11,606.56
  6. Step 6: Final answer
    x = 9,068.15

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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.