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Finding the Fourth Proportional to 10,526.34, 15,778.53 and 4,283.85

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Solution

The fourth proportional to 10,526.34, 15,778.53 and 4,283.85 is: 6,421.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,526.34 : 15,778.53 = 4,283.85 : x
  2. Step 2: Convert to fraction form
    10,526.34/15,778.53 = 4,283.85/x
  3. Step 3: Cross multiply
    10,526.34x = 15,778.53 × 4,283.85
  4. Step 4: Simplify right side
    10,526.34x = 67,592,855.74
  5. Step 5: Solve for x
    x = 67,592,855.74/10,526.34
  6. Step 6: Final answer
    x = 6,421.31

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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.