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Finding the Fourth Proportional to 8,752, 13,130.16 and 2,596

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Solution

The fourth proportional to 8,752, 13,130.16 and 2,596 is: 3,894.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,752 : 13,130.16 = 2,596 : x
  2. Step 2: Convert to fraction form
    8,752/13,130.16 = 2,596/x
  3. Step 3: Cross multiply
    8,752x = 13,130.16 × 2,596
  4. Step 4: Simplify right side
    8,752x = 34,085,895.36
  5. Step 5: Solve for x
    x = 34,085,895.36/8,752
  6. Step 6: Final answer
    x = 3,894.64

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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.