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Finding the Fourth Proportional to 10,488.90, 15,731.58 and 3,913.32

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Solution

The fourth proportional to 10,488.90, 15,731.58 and 3,913.32 is: 5,869.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,488.90 : 15,731.58 = 3,913.32 : x
  2. Step 2: Convert to fraction form
    10,488.90/15,731.58 = 3,913.32/x
  3. Step 3: Cross multiply
    10,488.90x = 15,731.58 × 3,913.32
  4. Step 4: Simplify right side
    10,488.90x = 61,562,706.65
  5. Step 5: Solve for x
    x = 61,562,706.65/10,488.90
  6. Step 6: Final answer
    x = 5,869.32

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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.