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Finding the Fourth Proportional to 11,503.38, 15,870.18 and 6,466.46

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Solution

The fourth proportional to 11,503.38, 15,870.18 and 6,466.46 is: 8,921.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,503.38 : 15,870.18 = 6,466.46 : x
  2. Step 2: Convert to fraction form
    11,503.38/15,870.18 = 6,466.46/x
  3. Step 3: Cross multiply
    11,503.38x = 15,870.18 × 6,466.46
  4. Step 4: Simplify right side
    11,503.38x = 102,623,884.16
  5. Step 5: Solve for x
    x = 102,623,884.16/11,503.38
  6. Step 6: Final answer
    x = 8,921.19

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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.