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Finding the Fourth Proportional to 8,088, 11,164.32 and 4,776

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Solution

The fourth proportional to 8,088, 11,164.32 and 4,776 is: 6,592.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,088 : 11,164.32 = 4,776 : x
  2. Step 2: Convert to fraction form
    8,088/11,164.32 = 4,776/x
  3. Step 3: Cross multiply
    8,088x = 11,164.32 × 4,776
  4. Step 4: Simplify right side
    8,088x = 53,320,792.32
  5. Step 5: Solve for x
    x = 53,320,792.32/8,088
  6. Step 6: Final answer
    x = 6,592.58

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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.