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Finding the Fourth Proportional to 11,490.74, 15,856.63 and 6,455.17

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Solution

The fourth proportional to 11,490.74, 15,856.63 and 6,455.17 is: 8,907.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,490.74 : 15,856.63 = 6,455.17 : x
  2. Step 2: Convert to fraction form
    11,490.74/15,856.63 = 6,455.17/x
  3. Step 3: Cross multiply
    11,490.74x = 15,856.63 × 6,455.17
  4. Step 4: Simplify right side
    11,490.74x = 102,357,210.00
  5. Step 5: Solve for x
    x = 102,357,210.00/11,490.74
  6. Step 6: Final answer
    x = 8,907.80

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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.