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Finding the Fourth Proportional to 11,117.60, 16,676.40 and 10,275.20

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Solution

The fourth proportional to 11,117.60, 16,676.40 and 10,275.20 is: 15,412.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,117.60 : 16,676.40 = 10,275.20 : x
  2. Step 2: Convert to fraction form
    11,117.60/16,676.40 = 10,275.20/x
  3. Step 3: Cross multiply
    11,117.60x = 16,676.40 × 10,275.20
  4. Step 4: Simplify right side
    11,117.60x = 171,353,345.28
  5. Step 5: Solve for x
    x = 171,353,345.28/11,117.60
  6. Step 6: Final answer
    x = 15,412.80

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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.