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Finding the Fourth Proportional to 11,357.65, 15,672.95 and 6,576.76

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Solution

The fourth proportional to 11,357.65, 15,672.95 and 6,576.76 is: 9,075.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,357.65 : 15,672.95 = 6,576.76 : x
  2. Step 2: Convert to fraction form
    11,357.65/15,672.95 = 6,576.76/x
  3. Step 3: Cross multiply
    11,357.65x = 15,672.95 × 6,576.76
  4. Step 4: Simplify right side
    11,357.65x = 103,077,197.76
  5. Step 5: Solve for x
    x = 103,077,197.76/11,357.65
  6. Step 6: Final answer
    x = 9,075.57

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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.