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Finding the Fourth Proportional to 8,352, 11,526.12 and 4,626

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Solution

The fourth proportional to 8,352, 11,526.12 and 4,626 is: 6,384.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,352 : 11,526.12 = 4,626 : x
  2. Step 2: Convert to fraction form
    8,352/11,526.12 = 4,626/x
  3. Step 3: Cross multiply
    8,352x = 11,526.12 × 4,626
  4. Step 4: Simplify right side
    8,352x = 53,319,831.12
  5. Step 5: Solve for x
    x = 53,319,831.12/8,352
  6. Step 6: Final answer
    x = 6,384.08

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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.