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Finding the Fourth Proportional to 7,421, 10,238.14 and 4,904.32

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Solution

The fourth proportional to 7,421, 10,238.14 and 4,904.32 is: 6,766.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,421 : 10,238.14 = 4,904.32 : x
  2. Step 2: Convert to fraction form
    7,421/10,238.14 = 4,904.32/x
  3. Step 3: Cross multiply
    7,421x = 10,238.14 × 4,904.32
  4. Step 4: Simplify right side
    7,421x = 50,211,114.76
  5. Step 5: Solve for x
    x = 50,211,114.76/7,421
  6. Step 6: Final answer
    x = 6,766.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.