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Finding the Fourth Proportional to 10,482.68, 15,715.10 and 4,636.10

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Solution

The fourth proportional to 10,482.68, 15,715.10 and 4,636.10 is: 6,950.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,482.68 : 15,715.10 = 4,636.10 : x
  2. Step 2: Convert to fraction form
    10,482.68/15,715.10 = 4,636.10/x
  3. Step 3: Cross multiply
    10,482.68x = 15,715.10 × 4,636.10
  4. Step 4: Simplify right side
    10,482.68x = 72,856,775.11
  5. Step 5: Solve for x
    x = 72,856,775.11/10,482.68
  6. Step 6: Final answer
    x = 6,950.21

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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.