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Finding the Fourth Proportional to 10,857.65, 14,973.66 and 9,182.57

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Solution

The fourth proportional to 10,857.65, 14,973.66 and 9,182.57 is: 12,663.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,857.65 : 14,973.66 = 9,182.57 : x
  2. Step 2: Convert to fraction form
    10,857.65/14,973.66 = 9,182.57/x
  3. Step 3: Cross multiply
    10,857.65x = 14,973.66 × 9,182.57
  4. Step 4: Simplify right side
    10,857.65x = 137,496,606.24
  5. Step 5: Solve for x
    x = 137,496,606.24/10,857.65
  6. Step 6: Final answer
    x = 12,663.58

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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.