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Finding the Fourth Proportional to 11,602.70, 16,011.48 and 6,566.82

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Solution

The fourth proportional to 11,602.70, 16,011.48 and 6,566.82 is: 9,062.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,602.70 : 16,011.48 = 6,566.82 : x
  2. Step 2: Convert to fraction form
    11,602.70/16,011.48 = 6,566.82/x
  3. Step 3: Cross multiply
    11,602.70x = 16,011.48 × 6,566.82
  4. Step 4: Simplify right side
    11,602.70x = 105,144,507.09
  5. Step 5: Solve for x
    x = 105,144,507.09/11,602.70
  6. Step 6: Final answer
    x = 9,062.08

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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.