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Finding the Fourth Proportional to 10,917.60, 15,066.16 and 6,441.36

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Solution

The fourth proportional to 10,917.60, 15,066.16 and 6,441.36 is: 8,889.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,917.60 : 15,066.16 = 6,441.36 : x
  2. Step 2: Convert to fraction form
    10,917.60/15,066.16 = 6,441.36/x
  3. Step 3: Cross multiply
    10,917.60x = 15,066.16 × 6,441.36
  4. Step 4: Simplify right side
    10,917.60x = 97,046,560.38
  5. Step 5: Solve for x
    x = 97,046,560.38/10,917.60
  6. Step 6: Final answer
    x = 8,889.00

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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.