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Finding the Fourth Proportional to 7,562.40, 10,436.16 and 4,577.76

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Solution

The fourth proportional to 7,562.40, 10,436.16 and 4,577.76 is: 6,317.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,562.40 : 10,436.16 = 4,577.76 : x
  2. Step 2: Convert to fraction form
    7,562.40/10,436.16 = 4,577.76/x
  3. Step 3: Cross multiply
    7,562.40x = 10,436.16 × 4,577.76
  4. Step 4: Simplify right side
    7,562.40x = 47,774,235.80
  5. Step 5: Solve for x
    x = 47,774,235.80/7,562.40
  6. Step 6: Final answer
    x = 6,317.34

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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.