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Finding the Fourth Proportional to 7,178.64, 9,908.40 and 4,386.48

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Solution

The fourth proportional to 7,178.64, 9,908.40 and 4,386.48 is: 6,054.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,178.64 : 9,908.40 = 4,386.48 : x
  2. Step 2: Convert to fraction form
    7,178.64/9,908.40 = 4,386.48/x
  3. Step 3: Cross multiply
    7,178.64x = 9,908.40 × 4,386.48
  4. Step 4: Simplify right side
    7,178.64x = 43,462,998.43
  5. Step 5: Solve for x
    x = 43,462,998.43/7,178.64
  6. Step 6: Final answer
    x = 6,054.49

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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.