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Finding the Fourth Proportional to 7,873.18, 10,854.90 and 6,451.63

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Solution

The fourth proportional to 7,873.18, 10,854.90 and 6,451.63 is: 8,894.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,873.18 : 10,854.90 = 6,451.63 : x
  2. Step 2: Convert to fraction form
    7,873.18/10,854.90 = 6,451.63/x
  3. Step 3: Cross multiply
    7,873.18x = 10,854.90 × 6,451.63
  4. Step 4: Simplify right side
    7,873.18x = 70,031,798.49
  5. Step 5: Solve for x
    x = 70,031,798.49/7,873.18
  6. Step 6: Final answer
    x = 8,894.98

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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.