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Finding the Fourth Proportional to 7,458.13, 10,289.94 and 4,905.16

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Solution

The fourth proportional to 7,458.13, 10,289.94 and 4,905.16 is: 6,767.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,458.13 : 10,289.94 = 4,905.16 : x
  2. Step 2: Convert to fraction form
    7,458.13/10,289.94 = 4,905.16/x
  3. Step 3: Cross multiply
    7,458.13x = 10,289.94 × 4,905.16
  4. Step 4: Simplify right side
    7,458.13x = 50,473,802.09
  5. Step 5: Solve for x
    x = 50,473,802.09/7,458.13
  6. Step 6: Final answer
    x = 6,767.62

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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.