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Finding the Fourth Proportional to 7,152.64, 9,870.24 and 4,168.96

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Solution

The fourth proportional to 7,152.64, 9,870.24 and 4,168.96 is: 5,752.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,152.64 : 9,870.24 = 4,168.96 : x
  2. Step 2: Convert to fraction form
    7,152.64/9,870.24 = 4,168.96/x
  3. Step 3: Cross multiply
    7,152.64x = 9,870.24 × 4,168.96
  4. Step 4: Simplify right side
    7,152.64x = 41,148,635.75
  5. Step 5: Solve for x
    x = 41,148,635.75/7,152.64
  6. Step 6: Final answer
    x = 5,752.93

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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.