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Finding the Fourth Proportional to 10,641.62, 14,685.53 and 5,925.99

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Solution

The fourth proportional to 10,641.62, 14,685.53 and 5,925.99 is: 8,177.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,641.62 : 14,685.53 = 5,925.99 : x
  2. Step 2: Convert to fraction form
    10,641.62/14,685.53 = 5,925.99/x
  3. Step 3: Cross multiply
    10,641.62x = 14,685.53 × 5,925.99
  4. Step 4: Simplify right side
    10,641.62x = 87,026,274.29
  5. Step 5: Solve for x
    x = 87,026,274.29/10,641.62
  6. Step 6: Final answer
    x = 8,177.92

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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.