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Finding the Fourth Proportional to 11,570.64, 17,356.01 and 3,565.32

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Solution

The fourth proportional to 11,570.64, 17,356.01 and 3,565.32 is: 5,348.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,570.64 : 17,356.01 = 3,565.32 : x
  2. Step 2: Convert to fraction form
    11,570.64/17,356.01 = 3,565.32/x
  3. Step 3: Cross multiply
    11,570.64x = 17,356.01 × 3,565.32
  4. Step 4: Simplify right side
    11,570.64x = 61,879,729.57
  5. Step 5: Solve for x
    x = 61,879,729.57/11,570.64
  6. Step 6: Final answer
    x = 5,348.00

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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.