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Finding the Fourth Proportional to 11,366.91, 15,688.76 and 7,638.75

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Solution

The fourth proportional to 11,366.91, 15,688.76 and 7,638.75 is: 10,543.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,366.91 : 15,688.76 = 7,638.75 : x
  2. Step 2: Convert to fraction form
    11,366.91/15,688.76 = 7,638.75/x
  3. Step 3: Cross multiply
    11,366.91x = 15,688.76 × 7,638.75
  4. Step 4: Simplify right side
    11,366.91x = 119,842,477.26
  5. Step 5: Solve for x
    x = 119,842,477.26/11,366.91
  6. Step 6: Final answer
    x = 10,543.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.