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Finding the Fourth Proportional to 10,430.57, 14,390.19 and 6,653.88

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Solution

The fourth proportional to 10,430.57, 14,390.19 and 6,653.88 is: 9,179.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,430.57 : 14,390.19 = 6,653.88 : x
  2. Step 2: Convert to fraction form
    10,430.57/14,390.19 = 6,653.88/x
  3. Step 3: Cross multiply
    10,430.57x = 14,390.19 × 6,653.88
  4. Step 4: Simplify right side
    10,430.57x = 95,750,597.44
  5. Step 5: Solve for x
    x = 95,750,597.44/10,430.57
  6. Step 6: Final answer
    x = 9,179.80

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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.