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Finding the Fourth Proportional to 7,433, 10,256.86 and 4,075.76

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Solution

The fourth proportional to 7,433, 10,256.86 and 4,075.76 is: 5,624.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,433 : 10,256.86 = 4,075.76 : x
  2. Step 2: Convert to fraction form
    7,433/10,256.86 = 4,075.76/x
  3. Step 3: Cross multiply
    7,433x = 10,256.86 × 4,075.76
  4. Step 4: Simplify right side
    7,433x = 41,804,499.71
  5. Step 5: Solve for x
    x = 41,804,499.71/7,433
  6. Step 6: Final answer
    x = 5,624.18

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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.