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Finding the Fourth Proportional to 10,585.35, 15,878.05 and 3,570.29

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Solution

The fourth proportional to 10,585.35, 15,878.05 and 3,570.29 is: 5,355.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,585.35 : 15,878.05 = 3,570.29 : x
  2. Step 2: Convert to fraction form
    10,585.35/15,878.05 = 3,570.29/x
  3. Step 3: Cross multiply
    10,585.35x = 15,878.05 × 3,570.29
  4. Step 4: Simplify right side
    10,585.35x = 56,689,252.06
  5. Step 5: Solve for x
    x = 56,689,252.06/10,585.35
  6. Step 6: Final answer
    x = 5,355.44

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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.