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Finding the Fourth Proportional to 7,713.86, 11,570.67 and 1,870.52

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Solution

The fourth proportional to 7,713.86, 11,570.67 and 1,870.52 is: 2,805.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,713.86 : 11,570.67 = 1,870.52 : x
  2. Step 2: Convert to fraction form
    7,713.86/11,570.67 = 1,870.52/x
  3. Step 3: Cross multiply
    7,713.86x = 11,570.67 × 1,870.52
  4. Step 4: Simplify right side
    7,713.86x = 21,643,111.80
  5. Step 5: Solve for x
    x = 21,643,111.80/7,713.86
  6. Step 6: Final answer
    x = 2,805.75

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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.