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Finding the Fourth Proportional to 10,308.51, 15,449.07 and 5,376.81

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Solution

The fourth proportional to 10,308.51, 15,449.07 and 5,376.81 is: 8,058.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,308.51 : 15,449.07 = 5,376.81 : x
  2. Step 2: Convert to fraction form
    10,308.51/15,449.07 = 5,376.81/x
  3. Step 3: Cross multiply
    10,308.51x = 15,449.07 × 5,376.81
  4. Step 4: Simplify right side
    10,308.51x = 83,066,714.07
  5. Step 5: Solve for x
    x = 83,066,714.07/10,308.51
  6. Step 6: Final answer
    x = 8,058.07

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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.