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Finding the Fourth Proportional to 7,158.96, 9,877.59 and 4,288.64

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Solution

The fourth proportional to 7,158.96, 9,877.59 and 4,288.64 is: 5,917.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,158.96 : 9,877.59 = 4,288.64 : x
  2. Step 2: Convert to fraction form
    7,158.96/9,877.59 = 4,288.64/x
  3. Step 3: Cross multiply
    7,158.96x = 9,877.59 × 4,288.64
  4. Step 4: Simplify right side
    7,158.96x = 42,361,378.19
  5. Step 5: Solve for x
    x = 42,361,378.19/7,158.96
  6. Step 6: Final answer
    x = 5,917.25

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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.