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Finding the Fourth Proportional to 7,503.24, 10,341.90 and 6,875.64

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Solution

The fourth proportional to 7,503.24, 10,341.90 and 6,875.64 is: 9,476.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,503.24 : 10,341.90 = 6,875.64 : x
  2. Step 2: Convert to fraction form
    7,503.24/10,341.90 = 6,875.64/x
  3. Step 3: Cross multiply
    7,503.24x = 10,341.90 × 6,875.64
  4. Step 4: Simplify right side
    7,503.24x = 71,107,181.32
  5. Step 5: Solve for x
    x = 71,107,181.32/7,503.24
  6. Step 6: Final answer
    x = 9,476.86

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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.