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Finding the Fourth Proportional to 7,752.46, 10,698.32 and 5,101.34

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Solution

The fourth proportional to 7,752.46, 10,698.32 and 5,101.34 is: 7,039.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,752.46 : 10,698.32 = 5,101.34 : x
  2. Step 2: Convert to fraction form
    7,752.46/10,698.32 = 5,101.34/x
  3. Step 3: Cross multiply
    7,752.46x = 10,698.32 × 5,101.34
  4. Step 4: Simplify right side
    7,752.46x = 54,575,767.75
  5. Step 5: Solve for x
    x = 54,575,767.75/7,752.46
  6. Step 6: Final answer
    x = 7,039.80

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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.