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Finding the Fourth Proportional to 7,365.42, 10,164.72 and 4,178.88

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Solution

The fourth proportional to 7,365.42, 10,164.72 and 4,178.88 is: 5,767.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,365.42 : 10,164.72 = 4,178.88 : x
  2. Step 2: Convert to fraction form
    7,365.42/10,164.72 = 4,178.88/x
  3. Step 3: Cross multiply
    7,365.42x = 10,164.72 × 4,178.88
  4. Step 4: Simplify right side
    7,365.42x = 42,477,145.11
  5. Step 5: Solve for x
    x = 42,477,145.11/7,365.42
  6. Step 6: Final answer
    x = 5,767.10

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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.