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Finding the Fourth Proportional to 7,877.32, 10,867.22 and 5,225.16

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Solution

The fourth proportional to 7,877.32, 10,867.22 and 5,225.16 is: 7,208.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,877.32 : 10,867.22 = 5,225.16 : x
  2. Step 2: Convert to fraction form
    7,877.32/10,867.22 = 5,225.16/x
  3. Step 3: Cross multiply
    7,877.32x = 10,867.22 × 5,225.16
  4. Step 4: Simplify right side
    7,877.32x = 56,782,963.26
  5. Step 5: Solve for x
    x = 56,782,963.26/7,877.32
  6. Step 6: Final answer
    x = 7,208.41

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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.