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Finding the Fourth Proportional to 8,904.24, 12,288.72 and 5,178

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Solution

The fourth proportional to 8,904.24, 12,288.72 and 5,178 is: 7,146.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,904.24 : 12,288.72 = 5,178 : x
  2. Step 2: Convert to fraction form
    8,904.24/12,288.72 = 5,178/x
  3. Step 3: Cross multiply
    8,904.24x = 12,288.72 × 5,178
  4. Step 4: Simplify right side
    8,904.24x = 63,630,992.16
  5. Step 5: Solve for x
    x = 63,630,992.16/8,904.24
  6. Step 6: Final answer
    x = 7,146.15

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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.