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Finding the Fourth Proportional to 7,413, 10,229.88 and 4,055.82

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Solution

The fourth proportional to 7,413, 10,229.88 and 4,055.82 is: 5,597.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,413 : 10,229.88 = 4,055.82 : x
  2. Step 2: Convert to fraction form
    7,413/10,229.88 = 4,055.82/x
  3. Step 3: Cross multiply
    7,413x = 10,229.88 × 4,055.82
  4. Step 4: Simplify right side
    7,413x = 41,490,551.90
  5. Step 5: Solve for x
    x = 41,490,551.90/7,413
  6. Step 6: Final answer
    x = 5,597.00

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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.