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Finding the Fourth Proportional to 7,507.98, 10,348.59 and 5,641.74

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Solution

The fourth proportional to 7,507.98, 10,348.59 and 5,641.74 is: 7,776.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,507.98 : 10,348.59 = 5,641.74 : x
  2. Step 2: Convert to fraction form
    7,507.98/10,348.59 = 5,641.74/x
  3. Step 3: Cross multiply
    7,507.98x = 10,348.59 × 5,641.74
  4. Step 4: Simplify right side
    7,507.98x = 58,384,054.15
  5. Step 5: Solve for x
    x = 58,384,054.15/7,507.98
  6. Step 6: Final answer
    x = 7,776.27

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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.