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Finding the Fourth Proportional to 10,751.76, 14,848.68 and 7,403.22

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Solution

The fourth proportional to 10,751.76, 14,848.68 and 7,403.22 is: 10,224.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,751.76 : 14,848.68 = 7,403.22 : x
  2. Step 2: Convert to fraction form
    10,751.76/14,848.68 = 7,403.22/x
  3. Step 3: Cross multiply
    10,751.76x = 14,848.68 × 7,403.22
  4. Step 4: Simplify right side
    10,751.76x = 109,928,044.75
  5. Step 5: Solve for x
    x = 109,928,044.75/10,751.76
  6. Step 6: Final answer
    x = 10,224.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.