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Finding the Fourth Proportional to 10,582.64, 15,875.03 and 2,791.46

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Solution

The fourth proportional to 10,582.64, 15,875.03 and 2,791.46 is: 4,187.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,582.64 : 15,875.03 = 2,791.46 : x
  2. Step 2: Convert to fraction form
    10,582.64/15,875.03 = 2,791.46/x
  3. Step 3: Cross multiply
    10,582.64x = 15,875.03 × 2,791.46
  4. Step 4: Simplify right side
    10,582.64x = 44,314,417.91
  5. Step 5: Solve for x
    x = 44,314,417.91/10,582.64
  6. Step 6: Final answer
    x = 4,187.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.