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Finding the Fourth Proportional to 11,491.61, 15,854.33 and 7,515.05

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Solution

The fourth proportional to 11,491.61, 15,854.33 and 7,515.05 is: 10,368.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,491.61 : 15,854.33 = 7,515.05 : x
  2. Step 2: Convert to fraction form
    11,491.61/15,854.33 = 7,515.05/x
  3. Step 3: Cross multiply
    11,491.61x = 15,854.33 × 7,515.05
  4. Step 4: Simplify right side
    11,491.61x = 119,146,022.18
  5. Step 5: Solve for x
    x = 119,146,022.18/11,491.61
  6. Step 6: Final answer
    x = 10,368.09

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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.