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Finding the Fourth Proportional to 7,417.84, 10,238.28 and 4,900.40

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Solution

The fourth proportional to 7,417.84, 10,238.28 and 4,900.40 is: 6,763.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,417.84 : 10,238.28 = 4,900.40 : x
  2. Step 2: Convert to fraction form
    7,417.84/10,238.28 = 4,900.40/x
  3. Step 3: Cross multiply
    7,417.84x = 10,238.28 × 4,900.40
  4. Step 4: Simplify right side
    7,417.84x = 50,171,667.31
  5. Step 5: Solve for x
    x = 50,171,667.31/7,417.84
  6. Step 6: Final answer
    x = 6,763.65

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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.