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Finding the Fourth Proportional to 10,342.22, 15,569.82 and 7,075.89

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Solution

The fourth proportional to 10,342.22, 15,569.82 and 7,075.89 is: 10,652.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,342.22 : 15,569.82 = 7,075.89 : x
  2. Step 2: Convert to fraction form
    10,342.22/15,569.82 = 7,075.89/x
  3. Step 3: Cross multiply
    10,342.22x = 15,569.82 × 7,075.89
  4. Step 4: Simplify right side
    10,342.22x = 110,170,333.64
  5. Step 5: Solve for x
    x = 110,170,333.64/10,342.22
  6. Step 6: Final answer
    x = 10,652.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.