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Finding the Fourth Proportional to 10,582.50, 14,598.68 and 8,903.29

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Solution

The fourth proportional to 10,582.50, 14,598.68 and 8,903.29 is: 12,282.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,582.50 : 14,598.68 = 8,903.29 : x
  2. Step 2: Convert to fraction form
    10,582.50/14,598.68 = 8,903.29/x
  3. Step 3: Cross multiply
    10,582.50x = 14,598.68 × 8,903.29
  4. Step 4: Simplify right side
    10,582.50x = 129,976,319.16
  5. Step 5: Solve for x
    x = 129,976,319.16/10,582.50
  6. Step 6: Final answer
    x = 12,282.20

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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.