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Finding the Fourth Proportional to 7,563.04, 10,436.16 and 4,538

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Solution

The fourth proportional to 7,563.04, 10,436.16 and 4,538 is: 6,261.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,563.04 : 10,436.16 = 4,538 : x
  2. Step 2: Convert to fraction form
    7,563.04/10,436.16 = 4,538/x
  3. Step 3: Cross multiply
    7,563.04x = 10,436.16 × 4,538
  4. Step 4: Simplify right side
    7,563.04x = 47,359,294.08
  5. Step 5: Solve for x
    x = 47,359,294.08/7,563.04
  6. Step 6: Final answer
    x = 6,261.94

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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.