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Finding the Fourth Proportional to 7,897.68, 10,899.38 and 4,541.55

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Solution

The fourth proportional to 7,897.68, 10,899.38 and 4,541.55 is: 6,267.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,897.68 : 10,899.38 = 4,541.55 : x
  2. Step 2: Convert to fraction form
    7,897.68/10,899.38 = 4,541.55/x
  3. Step 3: Cross multiply
    7,897.68x = 10,899.38 × 4,541.55
  4. Step 4: Simplify right side
    7,897.68x = 49,500,048.58
  5. Step 5: Solve for x
    x = 49,500,048.58/7,897.68
  6. Step 6: Final answer
    x = 6,267.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.