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Finding the Fourth Proportional to 10,582.92, 15,953.94 and 9,869.58

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Solution

The fourth proportional to 10,582.92, 15,953.94 and 9,869.58 is: 14,878.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,582.92 : 15,953.94 = 9,869.58 : x
  2. Step 2: Convert to fraction form
    10,582.92/15,953.94 = 9,869.58/x
  3. Step 3: Cross multiply
    10,582.92x = 15,953.94 × 9,869.58
  4. Step 4: Simplify right side
    10,582.92x = 157,458,687.15
  5. Step 5: Solve for x
    x = 157,458,687.15/10,582.92
  6. Step 6: Final answer
    x = 14,878.57

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.