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Finding the Fourth Proportional to 10,421.80, 15,639.90 and 7,502.20

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Solution

The fourth proportional to 10,421.80, 15,639.90 and 7,502.20 is: 11,258.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,421.80 : 15,639.90 = 7,502.20 : x
  2. Step 2: Convert to fraction form
    10,421.80/15,639.90 = 7,502.20/x
  3. Step 3: Cross multiply
    10,421.80x = 15,639.90 × 7,502.20
  4. Step 4: Simplify right side
    10,421.80x = 117,333,657.78
  5. Step 5: Solve for x
    x = 117,333,657.78/10,421.80
  6. Step 6: Final answer
    x = 11,258.48

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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.