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Finding the Fourth Proportional to 10,683.35, 14,635.95 and 10,284.04

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Solution

The fourth proportional to 10,683.35, 14,635.95 and 10,284.04 is: 14,088.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,683.35 : 14,635.95 = 10,284.04 : x
  2. Step 2: Convert to fraction form
    10,683.35/14,635.95 = 10,284.04/x
  3. Step 3: Cross multiply
    10,683.35x = 14,635.95 × 10,284.04
  4. Step 4: Simplify right side
    10,683.35x = 150,516,695.24
  5. Step 5: Solve for x
    x = 150,516,695.24/10,683.35
  6. Step 6: Final answer
    x = 14,088.90

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.