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Finding the Fourth Proportional to 10,585.40, 15,878.22 and 7,297.60

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Solution

The fourth proportional to 10,585.40, 15,878.22 and 7,297.60 is: 10,946.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,585.40 : 15,878.22 = 7,297.60 : x
  2. Step 2: Convert to fraction form
    10,585.40/15,878.22 = 7,297.60/x
  3. Step 3: Cross multiply
    10,585.40x = 15,878.22 × 7,297.60
  4. Step 4: Simplify right side
    10,585.40x = 115,872,898.27
  5. Step 5: Solve for x
    x = 115,872,898.27/10,585.40
  6. Step 6: Final answer
    x = 10,946.48

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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.