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Finding the Fourth Proportional to 10,970.72, 16,371.72 and 9,804.32

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Solution

The fourth proportional to 10,970.72, 16,371.72 and 9,804.32 is: 14,631.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,970.72 : 16,371.72 = 9,804.32 : x
  2. Step 2: Convert to fraction form
    10,970.72/16,371.72 = 9,804.32/x
  3. Step 3: Cross multiply
    10,970.72x = 16,371.72 × 9,804.32
  4. Step 4: Simplify right side
    10,970.72x = 160,513,581.83
  5. Step 5: Solve for x
    x = 160,513,581.83/10,970.72
  6. Step 6: Final answer
    x = 14,631.09

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.