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Finding the Fourth Proportional to 7,870.54, 10,864.29 and 5,218.84

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Solution

The fourth proportional to 7,870.54, 10,864.29 and 5,218.84 is: 7,203.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,870.54 : 10,864.29 = 5,218.84 : x
  2. Step 2: Convert to fraction form
    7,870.54/10,864.29 = 5,218.84/x
  3. Step 3: Cross multiply
    7,870.54x = 10,864.29 × 5,218.84
  4. Step 4: Simplify right side
    7,870.54x = 56,698,991.22
  5. Step 5: Solve for x
    x = 56,698,991.22/7,870.54
  6. Step 6: Final answer
    x = 7,203.95

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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.