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Finding the Fourth Proportional to 10,973.32, 16,461.54 and 4,047.28

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Solution

The fourth proportional to 10,973.32, 16,461.54 and 4,047.28 is: 6,071.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,973.32 : 16,461.54 = 4,047.28 : x
  2. Step 2: Convert to fraction form
    10,973.32/16,461.54 = 4,047.28/x
  3. Step 3: Cross multiply
    10,973.32x = 16,461.54 × 4,047.28
  4. Step 4: Simplify right side
    10,973.32x = 66,624,461.61
  5. Step 5: Solve for x
    x = 66,624,461.61/10,973.32
  6. Step 6: Final answer
    x = 6,071.50

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Why These Related Problems?

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