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Finding the Fourth Proportional to 7,870.16, 11,803.53 and 2,322.56

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Solution

The fourth proportional to 7,870.16, 11,803.53 and 2,322.56 is: 3,483.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,870.16 : 11,803.53 = 2,322.56 : x
  2. Step 2: Convert to fraction form
    7,870.16/11,803.53 = 2,322.56/x
  3. Step 3: Cross multiply
    7,870.16x = 11,803.53 × 2,322.56
  4. Step 4: Simplify right side
    7,870.16x = 27,414,406.64
  5. Step 5: Solve for x
    x = 27,414,406.64/7,870.16
  6. Step 6: Final answer
    x = 3,483.34

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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.