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Finding the Fourth Proportional to 10,354.77, 15,523.38 and 4,506.93

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Solution

The fourth proportional to 10,354.77, 15,523.38 and 4,506.93 is: 6,756.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,354.77 : 15,523.38 = 4,506.93 : x
  2. Step 2: Convert to fraction form
    10,354.77/15,523.38 = 4,506.93/x
  3. Step 3: Cross multiply
    10,354.77x = 15,523.38 × 4,506.93
  4. Step 4: Simplify right side
    10,354.77x = 69,962,787.02
  5. Step 5: Solve for x
    x = 69,962,787.02/10,354.77
  6. Step 6: Final answer
    x = 6,756.58

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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.