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Finding the Fourth Proportional to 7,152.96, 9,872.80 and 4,360.16

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Solution

The fourth proportional to 7,152.96, 9,872.80 and 4,360.16 is: 6,018.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,152.96 : 9,872.80 = 4,360.16 : x
  2. Step 2: Convert to fraction form
    7,152.96/9,872.80 = 4,360.16/x
  3. Step 3: Cross multiply
    7,152.96x = 9,872.80 × 4,360.16
  4. Step 4: Simplify right side
    7,152.96x = 43,046,987.65
  5. Step 5: Solve for x
    x = 43,046,987.65/7,152.96
  6. Step 6: Final answer
    x = 6,018.07

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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.