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Finding the Fourth Proportional to 10,140.98, 15,211.24 and 4,590.30

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Solution

The fourth proportional to 10,140.98, 15,211.24 and 4,590.30 is: 6,885.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,140.98 : 15,211.24 = 4,590.30 : x
  2. Step 2: Convert to fraction form
    10,140.98/15,211.24 = 4,590.30/x
  3. Step 3: Cross multiply
    10,140.98x = 15,211.24 × 4,590.30
  4. Step 4: Simplify right side
    10,140.98x = 69,824,154.97
  5. Step 5: Solve for x
    x = 69,824,154.97/10,140.98
  6. Step 6: Final answer
    x = 6,885.35

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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.