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Finding the Fourth Proportional to 11,632.23, 16,056.66 and 6,916.50

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Solution

The fourth proportional to 11,632.23, 16,056.66 and 6,916.50 is: 9,547.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,632.23 : 16,056.66 = 6,916.50 : x
  2. Step 2: Convert to fraction form
    11,632.23/16,056.66 = 6,916.50/x
  3. Step 3: Cross multiply
    11,632.23x = 16,056.66 × 6,916.50
  4. Step 4: Simplify right side
    11,632.23x = 111,055,854.31
  5. Step 5: Solve for x
    x = 111,055,854.31/11,632.23
  6. Step 6: Final answer
    x = 9,547.25

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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.