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Finding the Fourth Proportional to 11,490.81, 15,856.71 and 6,455.24

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Solution

The fourth proportional to 11,490.81, 15,856.71 and 6,455.24 is: 8,907.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,490.81 : 15,856.71 = 6,455.24 : x
  2. Step 2: Convert to fraction form
    11,490.81/15,856.71 = 6,455.24/x
  3. Step 3: Cross multiply
    11,490.81x = 15,856.71 × 6,455.24
  4. Step 4: Simplify right side
    11,490.81x = 102,358,950.14
  5. Step 5: Solve for x
    x = 102,358,950.14/11,490.81
  6. Step 6: Final answer
    x = 8,907.90

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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.