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Finding the Fourth Proportional to 7,713.84, 11,570.80 and 1,870.46

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Solution

The fourth proportional to 7,713.84, 11,570.80 and 1,870.46 is: 2,805.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,713.84 : 11,570.80 = 1,870.46 : x
  2. Step 2: Convert to fraction form
    7,713.84/11,570.80 = 1,870.46/x
  3. Step 3: Cross multiply
    7,713.84x = 11,570.80 × 1,870.46
  4. Step 4: Simplify right side
    7,713.84x = 21,642,718.57
  5. Step 5: Solve for x
    x = 21,642,718.57/7,713.84
  6. Step 6: Final answer
    x = 2,805.70

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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.