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Finding the Fourth Proportional to 7,875.56, 10,847.16 and 7,284.32

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Solution

The fourth proportional to 7,875.56, 10,847.16 and 7,284.32 is: 10,032.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,875.56 : 10,847.16 = 7,284.32 : x
  2. Step 2: Convert to fraction form
    7,875.56/10,847.16 = 7,284.32/x
  3. Step 3: Cross multiply
    7,875.56x = 10,847.16 × 7,284.32
  4. Step 4: Simplify right side
    7,875.56x = 79,014,184.53
  5. Step 5: Solve for x
    x = 79,014,184.53/7,875.56
  6. Step 6: Final answer
    x = 10,032.83

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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.