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Finding the Fourth Proportional to 7,178.32, 10,750.56 and 3,657.16

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Solution

The fourth proportional to 7,178.32, 10,750.56 and 3,657.16 is: 5,477.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,178.32 : 10,750.56 = 3,657.16 : x
  2. Step 2: Convert to fraction form
    7,178.32/10,750.56 = 3,657.16/x
  3. Step 3: Cross multiply
    7,178.32x = 10,750.56 × 3,657.16
  4. Step 4: Simplify right side
    7,178.32x = 39,316,518.01
  5. Step 5: Solve for x
    x = 39,316,518.01/7,178.32
  6. Step 6: Final answer
    x = 5,477.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.