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Finding the Fourth Proportional to 7,870.14, 11,801.13 and 2,322.78

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Solution

The fourth proportional to 7,870.14, 11,801.13 and 2,322.78 is: 3,482.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,870.14 : 11,801.13 = 2,322.78 : x
  2. Step 2: Convert to fraction form
    7,870.14/11,801.13 = 2,322.78/x
  3. Step 3: Cross multiply
    7,870.14x = 11,801.13 × 2,322.78
  4. Step 4: Simplify right side
    7,870.14x = 27,411,428.74
  5. Step 5: Solve for x
    x = 27,411,428.74/7,870.14
  6. Step 6: Final answer
    x = 3,482.97

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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.