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Finding the Fourth Proportional to 10,970.32, 16,457.04 and 4,044.28

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Solution

The fourth proportional to 10,970.32, 16,457.04 and 4,044.28 is: 6,067.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,970.32 : 16,457.04 = 4,044.28 : x
  2. Step 2: Convert to fraction form
    10,970.32/16,457.04 = 4,044.28/x
  3. Step 3: Cross multiply
    10,970.32x = 16,457.04 × 4,044.28
  4. Step 4: Simplify right side
    10,970.32x = 66,556,877.73
  5. Step 5: Solve for x
    x = 66,556,877.73/10,970.32
  6. Step 6: Final answer
    x = 6,067.00

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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.