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Finding the Fourth Proportional to 7,354.56, 10,148.58 and 4,210.14

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Solution

The fourth proportional to 7,354.56, 10,148.58 and 4,210.14 is: 5,809.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,354.56 : 10,148.58 = 4,210.14 : x
  2. Step 2: Convert to fraction form
    7,354.56/10,148.58 = 4,210.14/x
  3. Step 3: Cross multiply
    7,354.56x = 10,148.58 × 4,210.14
  4. Step 4: Simplify right side
    7,354.56x = 42,726,942.60
  5. Step 5: Solve for x
    x = 42,726,942.60/7,354.56
  6. Step 6: Final answer
    x = 5,809.59

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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.