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Finding the Fourth Proportional to 10,357.98, 15,534.36 and 2,962.49

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Solution

The fourth proportional to 10,357.98, 15,534.36 and 2,962.49 is: 4,442.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,357.98 : 15,534.36 = 2,962.49 : x
  2. Step 2: Convert to fraction form
    10,357.98/15,534.36 = 2,962.49/x
  3. Step 3: Cross multiply
    10,357.98x = 15,534.36 × 2,962.49
  4. Step 4: Simplify right side
    10,357.98x = 46,020,308.48
  5. Step 5: Solve for x
    x = 46,020,308.48/10,357.98
  6. Step 6: Final answer
    x = 4,442.98

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