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Finding the Fourth Proportional to 10,005.73, 13,803.31 and 6,470.08

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Solution

The fourth proportional to 10,005.73, 13,803.31 and 6,470.08 is: 8,925.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,005.73 : 13,803.31 = 6,470.08 : x
  2. Step 2: Convert to fraction form
    10,005.73/13,803.31 = 6,470.08/x
  3. Step 3: Cross multiply
    10,005.73x = 13,803.31 × 6,470.08
  4. Step 4: Simplify right side
    10,005.73x = 89,308,493.54
  5. Step 5: Solve for x
    x = 89,308,493.54/10,005.73
  6. Step 6: Final answer
    x = 8,925.74

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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.