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Finding the Fourth Proportional to 10,973.32, 16,461.54 and 4,047.32

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Solution

The fourth proportional to 10,973.32, 16,461.54 and 4,047.32 is: 6,071.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,973.32 : 16,461.54 = 4,047.32 : x
  2. Step 2: Convert to fraction form
    10,973.32/16,461.54 = 4,047.32/x
  3. Step 3: Cross multiply
    10,973.32x = 16,461.54 × 4,047.32
  4. Step 4: Simplify right side
    10,973.32x = 66,625,120.07
  5. Step 5: Solve for x
    x = 66,625,120.07/10,973.32
  6. Step 6: Final answer
    x = 6,071.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.