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Finding the Fourth Proportional to 10,921.64, 15,073.80 and 6,445.07

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Solution

The fourth proportional to 10,921.64, 15,073.80 and 6,445.07 is: 8,895.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,921.64 : 15,073.80 = 6,445.07 : x
  2. Step 2: Convert to fraction form
    10,921.64/15,073.80 = 6,445.07/x
  3. Step 3: Cross multiply
    10,921.64x = 15,073.80 × 6,445.07
  4. Step 4: Simplify right side
    10,921.64x = 97,151,653.15
  5. Step 5: Solve for x
    x = 97,151,653.15/10,921.64
  6. Step 6: Final answer
    x = 8,895.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.