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Finding the Fourth Proportional to 10,582.32, 14,602.81 and 5,801.49

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Solution

The fourth proportional to 10,582.32, 14,602.81 and 5,801.49 is: 8,005.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,582.32 : 14,602.81 = 5,801.49 : x
  2. Step 2: Convert to fraction form
    10,582.32/14,602.81 = 5,801.49/x
  3. Step 3: Cross multiply
    10,582.32x = 14,602.81 × 5,801.49
  4. Step 4: Simplify right side
    10,582.32x = 84,718,056.19
  5. Step 5: Solve for x
    x = 84,718,056.19/10,582.32
  6. Step 6: Final answer
    x = 8,005.62

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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.