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Finding the Fourth Proportional to 7,298.66, 10,068.56 and 5,174.64

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Solution

The fourth proportional to 7,298.66, 10,068.56 and 5,174.64 is: 7,138.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,298.66 : 10,068.56 = 5,174.64 : x
  2. Step 2: Convert to fraction form
    7,298.66/10,068.56 = 5,174.64/x
  3. Step 3: Cross multiply
    7,298.66x = 10,068.56 × 5,174.64
  4. Step 4: Simplify right side
    7,298.66x = 52,101,173.32
  5. Step 5: Solve for x
    x = 52,101,173.32/7,298.66
  6. Step 6: Final answer
    x = 7,138.46

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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.