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Finding the Fourth Proportional to 10,565.60, 15,848.64 and 2,775.20

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Solution

The fourth proportional to 10,565.60, 15,848.64 and 2,775.20 is: 4,162.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,565.60 : 15,848.64 = 2,775.20 : x
  2. Step 2: Convert to fraction form
    10,565.60/15,848.64 = 2,775.20/x
  3. Step 3: Cross multiply
    10,565.60x = 15,848.64 × 2,775.20
  4. Step 4: Simplify right side
    10,565.60x = 43,983,145.73
  5. Step 5: Solve for x
    x = 43,983,145.73/10,565.60
  6. Step 6: Final answer
    x = 4,162.86

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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.