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Finding the Fourth Proportional to 8,570.94, 12,838.18 and 5,057.16

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Solution

The fourth proportional to 8,570.94, 12,838.18 and 5,057.16 is: 7,574.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,570.94 : 12,838.18 = 5,057.16 : x
  2. Step 2: Convert to fraction form
    8,570.94/12,838.18 = 5,057.16/x
  3. Step 3: Cross multiply
    8,570.94x = 12,838.18 × 5,057.16
  4. Step 4: Simplify right side
    8,570.94x = 64,924,730.37
  5. Step 5: Solve for x
    x = 64,924,730.37/8,570.94
  6. Step 6: Final answer
    x = 7,574.98

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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.