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Finding the Fourth Proportional to 10,229.58, 15,337.80 and 6,715.44

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Solution

The fourth proportional to 10,229.58, 15,337.80 and 6,715.44 is: 10,068.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,229.58 : 15,337.80 = 6,715.44 : x
  2. Step 2: Convert to fraction form
    10,229.58/15,337.80 = 6,715.44/x
  3. Step 3: Cross multiply
    10,229.58x = 15,337.80 × 6,715.44
  4. Step 4: Simplify right side
    10,229.58x = 103,000,075.63
  5. Step 5: Solve for x
    x = 103,000,075.63/10,229.58
  6. Step 6: Final answer
    x = 10,068.85

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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.