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Finding the Fourth Proportional to 10,252.80, 15,369.60 and 8,030.40

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Solution

The fourth proportional to 10,252.80, 15,369.60 and 8,030.40 is: 12,038.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,252.80 : 15,369.60 = 8,030.40 : x
  2. Step 2: Convert to fraction form
    10,252.80/15,369.60 = 8,030.40/x
  3. Step 3: Cross multiply
    10,252.80x = 15,369.60 × 8,030.40
  4. Step 4: Simplify right side
    10,252.80x = 123,424,035.84
  5. Step 5: Solve for x
    x = 123,424,035.84/10,252.80
  6. Step 6: Final answer
    x = 12,038.08

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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.