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Finding the Fourth Proportional to 10,448.16, 14,417.91 and 5,971.32

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Solution

The fourth proportional to 10,448.16, 14,417.91 and 5,971.32 is: 8,240.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,448.16 : 14,417.91 = 5,971.32 : x
  2. Step 2: Convert to fraction form
    10,448.16/14,417.91 = 5,971.32/x
  3. Step 3: Cross multiply
    10,448.16x = 14,417.91 × 5,971.32
  4. Step 4: Simplify right side
    10,448.16x = 86,093,954.34
  5. Step 5: Solve for x
    x = 86,093,954.34/10,448.16
  6. Step 6: Final answer
    x = 8,240.11

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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.