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Finding the Fourth Proportional to 7,002.40, 10,503.64 and 2,842.48

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Solution

The fourth proportional to 7,002.40, 10,503.64 and 2,842.48 is: 4,263.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,002.40 : 10,503.64 = 2,842.48 : x
  2. Step 2: Convert to fraction form
    7,002.40/10,503.64 = 2,842.48/x
  3. Step 3: Cross multiply
    7,002.40x = 10,503.64 × 2,842.48
  4. Step 4: Simplify right side
    7,002.40x = 29,856,386.63
  5. Step 5: Solve for x
    x = 29,856,386.63/7,002.40
  6. Step 6: Final answer
    x = 4,263.74

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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.