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Finding the Fourth Proportional to 10,582.62, 14,570.71 and 8,986.11

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Solution

The fourth proportional to 10,582.62, 14,570.71 and 8,986.11 is: 12,372.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,582.62 : 14,570.71 = 8,986.11 : x
  2. Step 2: Convert to fraction form
    10,582.62/14,570.71 = 8,986.11/x
  3. Step 3: Cross multiply
    10,582.62x = 14,570.71 × 8,986.11
  4. Step 4: Simplify right side
    10,582.62x = 130,934,002.84
  5. Step 5: Solve for x
    x = 130,934,002.84/10,582.62
  6. Step 6: Final answer
    x = 12,372.55

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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.