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Finding the Fourth Proportional to 10,585.67, 15,878.88 and 4,012.34

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Solution

The fourth proportional to 10,585.67, 15,878.88 and 4,012.34 is: 6,018.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,585.67 : 15,878.88 = 4,012.34 : x
  2. Step 2: Convert to fraction form
    10,585.67/15,878.88 = 4,012.34/x
  3. Step 3: Cross multiply
    10,585.67x = 15,878.88 × 4,012.34
  4. Step 4: Simplify right side
    10,585.67x = 63,711,385.98
  5. Step 5: Solve for x
    x = 63,711,385.98/10,585.67
  6. Step 6: Final answer
    x = 6,018.65

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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.