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Finding the Fourth Proportional to 10,421.42, 14,366.62 and 7,432.08

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Solution

The fourth proportional to 10,421.42, 14,366.62 and 7,432.08 is: 10,245.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,421.42 : 14,366.62 = 7,432.08 : x
  2. Step 2: Convert to fraction form
    10,421.42/14,366.62 = 7,432.08/x
  3. Step 3: Cross multiply
    10,421.42x = 14,366.62 × 7,432.08
  4. Step 4: Simplify right side
    10,421.42x = 106,773,869.17
  5. Step 5: Solve for x
    x = 106,773,869.17/10,421.42
  6. Step 6: Final answer
    x = 10,245.62

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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.