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Finding the Fourth Proportional to 7,701.84, 10,617.48 and 5,490

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Solution

The fourth proportional to 7,701.84, 10,617.48 and 5,490 is: 7,568.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,701.84 : 10,617.48 = 5,490 : x
  2. Step 2: Convert to fraction form
    7,701.84/10,617.48 = 5,490/x
  3. Step 3: Cross multiply
    7,701.84x = 10,617.48 × 5,490
  4. Step 4: Simplify right side
    7,701.84x = 58,289,965.20
  5. Step 5: Solve for x
    x = 58,289,965.20/7,701.84
  6. Step 6: Final answer
    x = 7,568.32

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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.