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Finding the Fourth Proportional to 7,865.10, 10,854 and 4,461.89

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Solution

The fourth proportional to 7,865.10, 10,854 and 4,461.89 is: 6,157.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,865.10 : 10,854 = 4,461.89 : x
  2. Step 2: Convert to fraction form
    7,865.10/10,854 = 4,461.89/x
  3. Step 3: Cross multiply
    7,865.10x = 10,854 × 4,461.89
  4. Step 4: Simplify right side
    7,865.10x = 48,429,299.79
  5. Step 5: Solve for x
    x = 48,429,299.79/7,865.10
  6. Step 6: Final answer
    x = 6,157.49

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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.