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Finding the Fourth Proportional to 7,051.20, 10,565.67 and 2,602.74

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Solution

The fourth proportional to 7,051.20, 10,565.67 and 2,602.74 is: 3,900.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,051.20 : 10,565.67 = 2,602.74 : x
  2. Step 2: Convert to fraction form
    7,051.20/10,565.67 = 2,602.74/x
  3. Step 3: Cross multiply
    7,051.20x = 10,565.67 × 2,602.74
  4. Step 4: Simplify right side
    7,051.20x = 27,499,724.86
  5. Step 5: Solve for x
    x = 27,499,724.86/7,051.20
  6. Step 6: Final answer
    x = 3,900.01

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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.