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Finding the Fourth Proportional to 7,687.84, 10,598.16 and 5,476

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Solution

The fourth proportional to 7,687.84, 10,598.16 and 5,476 is: 7,549.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,687.84 : 10,598.16 = 5,476 : x
  2. Step 2: Convert to fraction form
    7,687.84/10,598.16 = 5,476/x
  3. Step 3: Cross multiply
    7,687.84x = 10,598.16 × 5,476
  4. Step 4: Simplify right side
    7,687.84x = 58,035,524.16
  5. Step 5: Solve for x
    x = 58,035,524.16/7,687.84
  6. Step 6: Final answer
    x = 7,549.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.