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Finding the Fourth Proportional to 10,641.34, 14,685.03 and 5,925.58

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Solution

The fourth proportional to 10,641.34, 14,685.03 and 5,925.58 is: 8,177.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,641.34 : 14,685.03 = 5,925.58 : x
  2. Step 2: Convert to fraction form
    10,641.34/14,685.03 = 5,925.58/x
  3. Step 3: Cross multiply
    10,641.34x = 14,685.03 × 5,925.58
  4. Step 4: Simplify right side
    10,641.34x = 87,017,320.07
  5. Step 5: Solve for x
    x = 87,017,320.07/10,641.34
  6. Step 6: Final answer
    x = 8,177.29

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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.