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Finding the Fourth Proportional to 10,695.60, 16,038.75 and 4,117.17

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Solution

The fourth proportional to 10,695.60, 16,038.75 and 4,117.17 is: 6,173.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,695.60 : 16,038.75 = 4,117.17 : x
  2. Step 2: Convert to fraction form
    10,695.60/16,038.75 = 4,117.17/x
  3. Step 3: Cross multiply
    10,695.60x = 16,038.75 × 4,117.17
  4. Step 4: Simplify right side
    10,695.60x = 66,034,260.34
  5. Step 5: Solve for x
    x = 66,034,260.34/10,695.60
  6. Step 6: Final answer
    x = 6,173.97

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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.