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Finding the Fourth Proportional to 7,881.64, 10,875.64 and 4,524.60

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Solution

The fourth proportional to 7,881.64, 10,875.64 and 4,524.60 is: 6,243.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,881.64 : 10,875.64 = 4,524.60 : x
  2. Step 2: Convert to fraction form
    7,881.64/10,875.64 = 4,524.60/x
  3. Step 3: Cross multiply
    7,881.64x = 10,875.64 × 4,524.60
  4. Step 4: Simplify right side
    7,881.64x = 49,207,920.74
  5. Step 5: Solve for x
    x = 49,207,920.74/7,881.64
  6. Step 6: Final answer
    x = 6,243.36

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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.