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Finding the Fourth Proportional to 10,282.32, 15,421.05 and 4,732.20

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Solution

The fourth proportional to 10,282.32, 15,421.05 and 4,732.20 is: 7,097.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,282.32 : 15,421.05 = 4,732.20 : x
  2. Step 2: Convert to fraction form
    10,282.32/15,421.05 = 4,732.20/x
  3. Step 3: Cross multiply
    10,282.32x = 15,421.05 × 4,732.20
  4. Step 4: Simplify right side
    10,282.32x = 72,975,492.81
  5. Step 5: Solve for x
    x = 72,975,492.81/10,282.32
  6. Step 6: Final answer
    x = 7,097.18

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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.