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Finding the Fourth Proportional to 7,870.21, 10,859.76 and 4,513.17

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Solution

The fourth proportional to 7,870.21, 10,859.76 and 4,513.17 is: 6,227.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,870.21 : 10,859.76 = 4,513.17 : x
  2. Step 2: Convert to fraction form
    7,870.21/10,859.76 = 4,513.17/x
  3. Step 3: Cross multiply
    7,870.21x = 10,859.76 × 4,513.17
  4. Step 4: Simplify right side
    7,870.21x = 49,011,943.04
  5. Step 5: Solve for x
    x = 49,011,943.04/7,870.21
  6. Step 6: Final answer
    x = 6,227.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.