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Finding the Fourth Proportional to 10,412.96, 15,582.18 and 9,717.80

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Solution

The fourth proportional to 10,412.96, 15,582.18 and 9,717.80 is: 14,541.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,412.96 : 15,582.18 = 9,717.80 : x
  2. Step 2: Convert to fraction form
    10,412.96/15,582.18 = 9,717.80/x
  3. Step 3: Cross multiply
    10,412.96x = 15,582.18 × 9,717.80
  4. Step 4: Simplify right side
    10,412.96x = 151,424,508.80
  5. Step 5: Solve for x
    x = 151,424,508.80/10,412.96
  6. Step 6: Final answer
    x = 14,541.93

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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.