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Finding the Fourth Proportional to 10,420.80, 15,638.40 and 7,501.20

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Solution

The fourth proportional to 10,420.80, 15,638.40 and 7,501.20 is: 11,256.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,420.80 : 15,638.40 = 7,501.20 : x
  2. Step 2: Convert to fraction form
    10,420.80/15,638.40 = 7,501.20/x
  3. Step 3: Cross multiply
    10,420.80x = 15,638.40 × 7,501.20
  4. Step 4: Simplify right side
    10,420.80x = 117,306,766.08
  5. Step 5: Solve for x
    x = 117,306,766.08/10,420.80
  6. Step 6: Final answer
    x = 11,256.98

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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.