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Finding the Fourth Proportional to 7,596, 11,385.78 and 5,130.18

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Solution

The fourth proportional to 7,596, 11,385.78 and 5,130.18 is: 7,689.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,596 : 11,385.78 = 5,130.18 : x
  2. Step 2: Convert to fraction form
    7,596/11,385.78 = 5,130.18/x
  3. Step 3: Cross multiply
    7,596x = 11,385.78 × 5,130.18
  4. Step 4: Simplify right side
    7,596x = 58,411,100.84
  5. Step 5: Solve for x
    x = 58,411,100.84/7,596
  6. Step 6: Final answer
    x = 7,689.72

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Why These Related Problems?

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