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Finding the Fourth Proportional to 28,159.56, 42,241.62 and 7,383

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Solution

The fourth proportional to 28,159.56, 42,241.62 and 7,383 is: 11,075.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,159.56 : 42,241.62 = 7,383 : x
  2. Step 2: Convert to fraction form
    28,159.56/42,241.62 = 7,383/x
  3. Step 3: Cross multiply
    28,159.56x = 42,241.62 × 7,383
  4. Step 4: Simplify right side
    28,159.56x = 311,869,880.46
  5. Step 5: Solve for x
    x = 311,869,880.46/28,159.56
  6. Step 6: Final answer
    x = 11,075.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.