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Finding the Fourth Proportional to 7,565.81, 11,341.42 and 4,053.24

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Solution

The fourth proportional to 7,565.81, 11,341.42 and 4,053.24 is: 6,075.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,565.81 : 11,341.42 = 4,053.24 : x
  2. Step 2: Convert to fraction form
    7,565.81/11,341.42 = 4,053.24/x
  3. Step 3: Cross multiply
    7,565.81x = 11,341.42 × 4,053.24
  4. Step 4: Simplify right side
    7,565.81x = 45,969,487.07
  5. Step 5: Solve for x
    x = 45,969,487.07/7,565.81
  6. Step 6: Final answer
    x = 6,075.95

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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.