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Finding the Fourth Proportional to 11,810.25, 16,298.16 and 6,505.05

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Solution

The fourth proportional to 11,810.25, 16,298.16 and 6,505.05 is: 8,976.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,810.25 : 16,298.16 = 6,505.05 : x
  2. Step 2: Convert to fraction form
    11,810.25/16,298.16 = 6,505.05/x
  3. Step 3: Cross multiply
    11,810.25x = 16,298.16 × 6,505.05
  4. Step 4: Simplify right side
    11,810.25x = 106,020,345.71
  5. Step 5: Solve for x
    x = 106,020,345.71/11,810.25
  6. Step 6: Final answer
    x = 8,976.98

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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.