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Finding the Fourth Proportional to 10,508.40, 15,762.96 and 3,582

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Solution

The fourth proportional to 10,508.40, 15,762.96 and 3,582 is: 5,373.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,508.40 : 15,762.96 = 3,582 : x
  2. Step 2: Convert to fraction form
    10,508.40/15,762.96 = 3,582/x
  3. Step 3: Cross multiply
    10,508.40x = 15,762.96 × 3,582
  4. Step 4: Simplify right side
    10,508.40x = 56,462,922.72
  5. Step 5: Solve for x
    x = 56,462,922.72/10,508.40
  6. Step 6: Final answer
    x = 5,373.12

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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.