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Finding the Fourth Proportional to 11,407.52, 15,748.08 and 7,700.96

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Solution

The fourth proportional to 11,407.52, 15,748.08 and 7,700.96 is: 10,631.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,407.52 : 15,748.08 = 7,700.96 : x
  2. Step 2: Convert to fraction form
    11,407.52/15,748.08 = 7,700.96/x
  3. Step 3: Cross multiply
    11,407.52x = 15,748.08 × 7,700.96
  4. Step 4: Simplify right side
    11,407.52x = 121,275,334.16
  5. Step 5: Solve for x
    x = 121,275,334.16/11,407.52
  6. Step 6: Final answer
    x = 10,631.17

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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.