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Finding the Fourth Proportional to 11,430.16, 15,763.08 and 8,777.68

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Solution

The fourth proportional to 11,430.16, 15,763.08 and 8,777.68 is: 12,105.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,430.16 : 15,763.08 = 8,777.68 : x
  2. Step 2: Convert to fraction form
    11,430.16/15,763.08 = 8,777.68/x
  3. Step 3: Cross multiply
    11,430.16x = 15,763.08 × 8,777.68
  4. Step 4: Simplify right side
    11,430.16x = 138,363,272.05
  5. Step 5: Solve for x
    x = 138,363,272.05/11,430.16
  6. Step 6: Final answer
    x = 12,105.10

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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.