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Finding the Fourth Proportional to 7,155.30, 9,878.88 and 5,832.16

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Solution

The fourth proportional to 7,155.30, 9,878.88 and 5,832.16 is: 8,052.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,155.30 : 9,878.88 = 5,832.16 : x
  2. Step 2: Convert to fraction form
    7,155.30/9,878.88 = 5,832.16/x
  3. Step 3: Cross multiply
    7,155.30x = 9,878.88 × 5,832.16
  4. Step 4: Simplify right side
    7,155.30x = 57,615,208.78
  5. Step 5: Solve for x
    x = 57,615,208.78/7,155.30
  6. Step 6: Final answer
    x = 8,052.10

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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.