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Finding the Fourth Proportional to 8,721.64, 13,088.16 and 5,209

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Solution

The fourth proportional to 8,721.64, 13,088.16 and 5,209 is: 7,816.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,721.64 : 13,088.16 = 5,209 : x
  2. Step 2: Convert to fraction form
    8,721.64/13,088.16 = 5,209/x
  3. Step 3: Cross multiply
    8,721.64x = 13,088.16 × 5,209
  4. Step 4: Simplify right side
    8,721.64x = 68,176,225.44
  5. Step 5: Solve for x
    x = 68,176,225.44/8,721.64
  6. Step 6: Final answer
    x = 7,816.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.